Solve the quadratic function by completing the square. What are the missing pieces in the steps? _32 = 2(x2 + 10x)

Step-by-step explanation:

-32 = 2(x² + 10x)

Complete the square

 coefficient of the x term: 10

 divide coefficient in half: 5

 square it: 5²

 use 5² to complete the square and keep the equation balanced:

-32+2·5² = 2(x² + 10x + 5²)

18 =2(x+5)²

9 = (x+5)²

x+5 = ±√9 = ±3

x = ±3 - 5 = -2, -8

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

this is false ^.^ lol