Question

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

Answer 1

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

Answer 2

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