Question

Solve the quadratic equation by completing the square. Verify your answer graphically. (Enter your answers as a comma-separated list.)
16x^2 − 24x − 23 = 0

Answer 1

16x^2 − 24x − 23 = 0
x^2 - (24/16)x = 23/16
x^2 - (3/2)x + 9/16 = 23/16 + 9/16
(x - 3/4)^2 = 2
x - 3/4 = ± √2
x = 3/4 ± √2