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
babunello [35]
3 years ago
15

Solve the equations for all values of x by completing the square x^2+62=-16x

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

You might be interested in
Miranda has 4 lb 6 oz of clay is she divided it into 10 equal parts how heavy is each part?
natulia [17]
Each part would be 20z of Clay
8 0
3 years ago
What is the scientific notation of 58,927
ratelena [41]
5 <em><u>8,937</u></em>

Move the decimal 4 place to the left

5.8×10^{4}


8 0
3 years ago
Read 2 more answers
What is the simplified version of -4(8r + 3)
Whitepunk [10]

Answer:

-8-3

Step-by-step explanation:

-4(8r+3)

-32r-12

divide both sides by 4

-8-3

5 0
2 years ago
Read 2 more answers
The polynomial −16t^2+550 gives the height of a ball t seconds after it is dropped from a 550-foot-tall building. Find the heigh
zhenek [66]

Answer:

486 feet

Step-by-step explanation:

h = -16t² + 550

h = -16(2)² + 550

h = 486

7 0
3 years ago
Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
azamat
Step-by-step-explanation
He did on D. 78 m

Jsjskksjmsmsms
3 0
2 years ago
Read 2 more answers
Other questions:
  • -x + 4y = 6 what is the slope of the line in equation above <br><br> Quick pleaseee
    13·1 answer
  • Garland put 2b+ 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amo
    10·1 answer
  • Indicate whether each of the following fractions is proper or improper.
    13·2 answers
  • White 15/45 in simplest form
    5·2 answers
  • -8*(-8x-6) = -6x-22  solve for x.
    14·1 answer
  • (5x+2)/8=x/6 what value will make it true??
    12·2 answers
  • –735 = 15(m + 929) m = _______
    6·1 answer
  • A carpenter has two nails. One of the nails is 3/8 of an inch long; the other is 1/3 of an inch long. What is the difference in
    8·2 answers
  • Question 17(Multiple Choice Worth 2 points)
    15·1 answer
  • Harlp ok it hard sorry
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!