Question

Whats the answer to 8p squared minus 16 p=10

Answer 1

784 is the answer because 10 squared is 100 multiply that by 8 you have 800 then subtract 16 and you get 784

Answer 2

8p² - 16p = 10

8p² - 16p - 10 = 0 Divide through by 2

4p² - 8p - 5 = 0

Multiply first and last coefficients: 4*-5 = -20

We look for two numbers that multiply to give -20, and add to give -8

Those two numbers are 2 and -10.

Check: 2*-10 = -20 2 + -10 = -8

We replace the middle term of -8p in the quadratic expression with 2p -10p


4p² - 8p - 5 = 0

4p² + 2p - 10p - 5 = 0

2p(2p + 1) - 5(2p + 1) = 0

(2p + 1)(2p - 5) = 0

2p + 1 = 0 or 2p + 5 = 0

2p = 0 -1 2p = 0 - 5

2p = -1 2p = -5

p = -1/2 p = -5/2

The solutions are p = -1/2 or -5/2