Question

4) Solve the following quadratic equation.
1/4-p-1/2+p=1/4

Answer 1

Check this out
Also make sure you make me brainliest answer thanks

Answer 2

we have to solve the quadratic equation,

1/(4 - p) - 1/(2 + p) = 1/4

solution : 1/(4 - p) - 1/(2 + p) = 1/4

⇒[(2 + p) - (4 - p)]/(4 - p)(2 + p) = 1/4

⇒(2p - 2)/(4 - p)(2 + p) = 1/4

⇒4(2p - 2) = (4 - p)(2 + p)

⇒8p - 8 = 8 + 4p - 2p - p²

⇒8p - 8 = 8 + 2p - p²

⇒p² + 6p - 16 = 0

⇒p² + 8p - 2p - 16 = 0

⇒p(p + 8) - 2(p + 8) = 0

⇒(p - 2)(p + 8) = 0

⇒p = 2, -8

Therefore the value of p is 2 and -8.