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
zysi [14]
3 years ago
9

A student solved a quadratic equation as shown here:

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

x = 3/2 or x = -4

Step-by-step explanation:

The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored  on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero

We proceed as follows;

2x^{2} + 5x = 12\\2x^{2} + 5x - 12 = 0\\2x^{2} + 8x -3x -12 = 0\\2x(x+4) -3(x+4) = 0\\(2x-3)(x+4) = 0\\2x-3 = 0 or x+4 =0\\2x=3 or x=-4\\x = 3/2 or x= -4\\x = 1.5 or- 4

You might be interested in
Lines DE and AB intersect at point C.
alexandr402 [8]

Answer:

25

Step-by-step explanation:

2x+2+5x+3=180 (angles on a straight line)

7x+5=180

7x=180-5

7x=175

x=25 (dividing both sides by 7)

3 0
3 years ago
What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthes
wariber [46]
The correct axis of symmetry is x = -1.

Explanation:

Our equation is
y=\frac{1}{3}(x+1)^2-3.

This is in vertex form, which is 
y = a(x-h)² + k, where (h, k) is the vertex.

In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).

The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
6 0
3 years ago
What is the square root of 75m
umka2103 [35]

Answer:

the square root of 75 is either \sqrt75 or 8.66

Step-by-step explanation:

6 0
3 years ago
How do you write 72% as a fraction and as a decimal?
statuscvo [17]
72% as a decimal is 0.72.

72% as a fraction is 72/100 = 18/25.
8 0
3 years ago
Read 2 more answers
24 less than 4 times a number is 60. what is the number?
kondaur [170]
Hey there! :D

Make an algebraic expression. 

Let the 'number' equal x. 

4x-24= 60

Add 24 on both sides. 

4x= 84

Divide both sides by 4. 

x=21

The number is 21. 

I hope this helps!
~kaikers 
8 0
3 years ago
Other questions:
  • What is the area of a piece of typing page 8.5" by 14"
    13·2 answers
  • Which modified box plot represents the data set?<br> 39, 39, 3, 40, 46, 48, 60, 62, 62<br>  
    8·2 answers
  • How to use the distributive Property fr 64 -+ 24
    6·1 answer
  • Use the formula d = rt to find the value of the missing variable.<br> d = 130 ​feet, t = 26 seconds
    13·1 answer
  • Please help...Thank you❤️❤️
    13·2 answers
  • Adrian is going to the store and needs milk he needs 4 bottles of milk he has 14$ and each cost 4$ does he have enough money
    12·2 answers
  • Please help i’ll give brainliest
    9·1 answer
  • Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​
    13·1 answer
  • Help me with questions 5 and 7 please show your work !
    12·1 answer
  • Which problem could be solved with the expression 5 x ( 2 + 4 ) ÷ 6 ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!