The solution of the quadratic equation (x + 4)^2 = 25 is x = -9 and x = 1
The correct answer is option (C)
What is quadratic equation?
"It is a polynomial with degree 2. The general form of quadratic equation is ax²+ b x + c =0, where a, b, c are real numbers with a ≠ 0."
For given example,
We need to find the solution of the quadratic equation (x + 4)^2 = 25.
⇒ (x + 4)^2 = 25
⇒ x² + 2(4)(x) + (4)² = 25
⇒ x² + 8x + 16 = 25
⇒ x² + 8x - 9 = 0
⇒ x² + 9x - x - 9 = 0
⇒ x(x + 9) - 1(x + 9) = 0
⇒ (x + 9)(x - 1) = 0
⇒ x + 9 = 0 and x - 1 = 0
⇒ x = -9 and x = 1
The correct answer is option (C)
Learn more about quadratic equation here:
https://brainly.com/question/1863222
#SPJ2
