1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cestrela7 [59]
2 years ago
14

Brainliest for the first solution

Mathematics
2 answers:
masha68 [24]2 years ago
6 0

Answer to Q1:

{3,-1}.

Step-by-step explanation:

We have give an equation.

x²-2x-3 =  0

We have to find the solution of given  equation.

We use method of factorization to solve this.

Splitting the middle term of given equation so that the sum of two term should be -2 and their product be -3, we have

x²-3x+x-3 =  0

Taking common, we have

x(x-3)+1(x-3) = 0

Taking (x-3) as common, we have

(x-3)(x+1) =  0

Applying Zero-Product Property to above equation, we have

x-3 = 0 or x+1 = 0

x = 3 or x = -1

Hence, the solution of given equation is {3,-1}.

Answer to Q2:

{3,-1/2}

Step-by-step explanation:

We have give an equation.

2x²-5x-3  =  0

We have to find the solution of given  equation.

We use method of factorization to solve this.

Splitting the middle term of given equation so that the sum of two term should be -5 and their product be -6, we have

2x²-6x+x-3 = 0

Taking common, we have

2x(x-3)+1(x-3) = 0

Taking (x-3) as common, we have

(x-3)(2x+1) = 0

Applying Zero-Product Property to above equation, we have

x-3 = 0 or 2x+1  = 0

x = 3 or 2x  = -1

x = 3 or x  = -1/2

Hence, the solution of given equation is {3,-1/2}.

Answer to Q3:

{3,5}

Step-by-step explanation:

We have give an equation.

x²-7x  = -12

x²-7x+12 = 0

We have to find the solution of given  equation.

We use method of factorization to solve this.

Splitting the middle term of given equation so that the sum of two term should be -7 and their product be 12, we have

x²-4x-3x+12 = 0

Taking common, we have

x(x-4)-3(x-4) = 0

Taking (x-4) as common, we have

(x-4)(x-3)  = 0

Applying Zero-Product Property to above equation, we have

x-4 = 0 or x-3 = 0

x = 4 or x = 3

Hence, the solution of given equation is {3,5}

Answer to Q4:

{6,-2/3}.

Step-by-step explanation:

We have give an equation.

3x² = 16x+12

3x²-16x-12 = 0

We have to find the solution of given  equation.

We use method of factorization to solve this.

Splitting the middle term of given equation so that the sum of two term should be -16 and their product be -36, we have

3x²-18x+2x-12  = 0

Taking common, we have

3x(x-6)+2(x-6)  = 0

Taking (x-6) as common, we have

(x-6)(3x+2)  = 0

Applying Zero-Product Property to above equation, we have

x-6 = 0 or 3x+2  = 0

x = 6 or x = -2/3

Hence, the solution of given equation is {6,-2/3}.

Answer to Q5:

{6,-4}

Step-by-step explanation:

We have give an equation.

x²-2x-24  = 0

We have to find the solution of given  equation.

We use method of factorization to solve this.

Splitting the middle term of given equation so that the sum of two term should be -2 and their product be -24, we have

x²-6x+4x-24 = 0

Taking common, we have

x(x-6)+4(x-6) = 0

Taking (x-6) as common, we have

(x-6)(x+4) = 0

Applying Zero-Product Property to above equation, we have

x-6 = 0 or x+4 = 0

x = 6 or x = -4

Hence, the solution of given equation is {6,-4}.

Answer to Q6:

{4/3,-1}

Step-by-step explanation:

We have give an equation.

3x²  = x+4

3x²-x-4 =  0

We have to find the solution of given  equation.

We use method of factorization to solve this.

Splitting the middle term of given equation so that the sum of two term should be -1 and their product be -12, we have

3x²-4x+3x-4 = 0

Taking common, we have

x(3x-4)+1(3x-4)  = 0

Taking (3x-4) as common, we have

(3x-4)(x+1) = 0

Applying Zero-Product Property to above equation, we have

3x-4  = 0 or x+1  = 0

3x = 4 or x = -1

x = 4/3 or x = -1

Hence, the solution of given equation is {4/3,-1}.

mr Goodwill [35]2 years ago
5 0

Q1  Solution:

x = 3 or x = -1

Step-by-step explanation:

x²-2x-3 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -2 and their product -3. By trial and error the two numbers are found to be; -3 and 1. The next step is to split the middle term by substituting it with the above two numbers found;

x²+x-3x-3  =  0

x(x+1)-3(x+1)  = 0

(x-3)(x+1) = 0

Finally we apply the zero Product Property :

If ab = 0 then a  = 0 or b  = 0

This implies;

x-3= 0 or x+1 = 0

x = 3 or x = -1 are the solutions to x²-2x-3 = 0

Q2  Solution:

x  = -1/2 or x  =  3

Step-by-step explanation:

2x²-5x-3  =0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -5 and their product 2(-3)=-6. By trial and error the two numbers are found to be; -6 and 1. The next step is to split the middle term by substituting it with the above two numbers found;

2x²-6x+x-3  = 0

2x(x-3)+1(x-3) = 0

(2x+1)(x-3) = 0

2x+1 = 0 or x-3 =  0

2x = -1 or x =  3

x  = -1/2 or x  =  3 are the solutions of the given quadratic equation.

Q3 Soution:

x = 4 or x = 3

Step-by-step explanation:

x²-7x = -12

x²-7x+12 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -7 and their product 12. By trial and error the two numbers are found to be; -4 and -3. The next step is to split the middle term by substituting it with the above two numbers found;

x²-4x-3x+12 = 0

x(x-4)-3(x-4)  = 0

(x-4)(x-3) = 0

x-4 = 0 or x-3 = 0

x = 4 or x = 3 are the solutions of the given quadratic equation.

Q4:

x = -2/3 or x = 6

Step-by-step explanation:

3x² = 16x+12

3x²-16x-12 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -16 and their product 3(-12)= -36. By trial and error the two numbers are found to be; -18 and 2. The next step is to split the middle term by substituting it with the above two numbers found;

3x²-18x+2x-12 = 0

3x(x-6)+2(x-6) = 0

(3x+2)(x-6) = 0

3x+2 = 0 or x-6 =0

3x = -2 or x = 6

x = -2/3 or x = 6 are the solutions of the given quadratic equation.

Q5:

x = 6 or x = -4

Step-by-step explanation:

x²-2x-24 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -2 and their product -24. By trial and error the two numbers are found to be; -6 and 4. The next step is to split the middle term by substituting it with the above two numbers found;

x²-6x+4x-24 = 0

x(x-6)+4(x-6) = 0

(x-6)(x+4) = 0

x-6 = 0 or x+4 = 0

x = 6 or x = -4 are the solutions to the given quadratic equation.

Q6:

x  = 4/3 or x  = -1

Step-by-step explanation:

3x² = x+4

3x²-x-4 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -1 and their product -12. By trial and error the two numbers are found to be; -4 and 3. The next step is to split the middle term by substituting it with the above two numbers found;

3x²-4x+3x-4 = 0

x(3x-4)+1(3x-4)  =0

(3x-4)(x+1) = 0

3x-4 =0 or x+1 =0

3x  = 4 or x = -1

x  = 4/3 or x  = -1 are the solutions to the given quadratic equation.

You might be interested in
Abcd is similar to wxyz what is the perimeter of wxyz
Naily [24]

Answer:

40

Step-by-step explanation:

30/12=2.5

20/2.5=8

8+8+12+12=40

4 0
2 years ago
What is the reference angle for π/6
Artemon [7]

Answer:

Step-by-step explanation:

π/6 is its own reference angle; it's positive and between 0 and π/2.

8 0
3 years ago
A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did La
Hunter-Best [27]

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

4 0
1 year ago
A college conducted a survey to explore the academic interests and achievements of its students. It asked students to place chec
otez555 [7]

Answer:

85

Step-by-step explanation:

Number of students that checked at least one of the statements means that they checked one or more than one of the statements = 28 + 26 + 14 + 8 + 4 + 3 + 2 = 85

6 0
3 years ago
A 12ft- ladder leans against the side of a house. The bottom of the ladder is 7ft from the side of the house. How high is the to
julsineya [31]
Ladder forms a right triangle with base 7 and hypotenuse 12, so

7²+h²=12². where h is the height
49+h²=144
h²=91
h=√91 or about 9.5

ladder touched the building about 9.5 ft up
8 0
3 years ago
Other questions:
  • Your weekly salary is $150. you also earn $20 commission for each cell phone that you sell. write an expression to represent the
    6·1 answer
  • Solve -5(3n + 4) = 40. <br> -4<br> -3<br> 3<br> 4
    9·2 answers
  • At Computer Central, the cost of renting a computer is $45 plus $35 per day. The total cost can be represented by the equation y
    10·1 answer
  • Evaluate the expression:<br> 3(a + b - 3) - 212a + b - 4) when a = 2 and b = 1
    7·1 answer
  • 1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the n
    11·1 answer
  • See the picture below!!!
    12·1 answer
  • PLEASE HELP!
    10·1 answer
  • Write the equation of the line that passes through the points (2, 3) and (3, -7). Put
    9·1 answer
  • Sarah has $240 and she gives her mum $80 what fraction of the money does Sarah have left give the fraction in its simplest form
    14·2 answers
  • I need help plzz <br> it do to day
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!