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
erastovalidia [21]
3 years ago
10

Solve this equation for x: 2x^2 + 12x - 7 = 0

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

You might be interested in
you want to purchase a new pair of jeans that cost $48 but on sale for 15% off. what's the sale price?​
jekas [21]
40.8 because u take 15 percent of 48 and subtract it from 48

7.2 - 48 = 40.8
3 0
3 years ago
The price of a company's share dropped by 3.50% by the end of the first year, down to $44.25. During the second year the price o
omeli [17]

Answer:

a. $45.86

b. $43.87

c. Percentage change = -4.40%)

Step-by-step explanation:

a. Let the price of share at the beginning of first year be represented with X

Now, Price of company's share dropped by 3.50% at the end of first year.

So, Price of share at the end of first year = x - 3.5% of x

= x - 0.035x

= 1x - 0.035x

= 0.965x

But it is equal to $44.25

=> 0.965x = 44.25

x = 44.25 / 0.965  

x = 45.8549223

x = $45.86

b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99  = $43.87

c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100

= (1.99/45.86)*100

= 0.04339294 * 100

= 4.40%

Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)

5 0
2 years ago
y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. What is the value of y when x = 5 m and z = 12 m
Fantom [35]
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:

y =  \frac{2}{3}  \times 5 \times 12 = 40
3 0
3 years ago
Read 2 more answers
Which expression is equivalent to:1/m6
Valentin [98]

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

8 0
2 years ago
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answ
Sonja [21]

Answer:

1/3

Step-by-step explanation:

the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.

5 0
3 years ago
Other questions:
  • Solve the equation for k.<br> 4k - 2z = 8
    9·2 answers
  • Dylan is at a fruit farm. So far he has 12 apples, Dylan starts walking and checks his basket, he only has 2 apples now. How man
    10·2 answers
  • the health food store wishes to blend peanuts that cost $1.20/ib with raisins that cost $2.10/ib to make 50 pounds of a mixture
    10·1 answer
  • Find the total surface of this triangular prism<br> please help me I forgot how to do this
    14·2 answers
  • If x = 10, which equation is true? *
    8·2 answers
  • Help me pleaseeeeeeeeee
    6·1 answer
  • Which table of ordered pairs represents s function?
    8·2 answers
  • 3.
    8·1 answer
  • Tatiana starts with $8 in her piggy bank and saves $2 per week. Julian starts with $0 in his piggy bank and saves $4 per week.
    7·1 answer
  • Which triangles are the images of JSK after preforming a reflection?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!