Complete the square to rewrite the equation in the form (x−h)2=p. x2−4x−75=0 What is the equation in (x−h)2=p form?

Answer 1

x^2 - 4x - 75 = 0

move 75 to right side by adding 75 to both sides

x^2 - 4x = 75

complete square by adding half of middle term coefficient squared (4/2)^2 = 4 to both sides:

x^2 - 4x + 4 = 79

factor perfect square on left side

(x-2)^2 = 79