The solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.
What is a quadratic equation?
Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
We have an quadratic equation:
x² + 20x + 100 = 36
\(\rm x^2+20x+64=0\)
a = 1, b = 20, and c = 64
\(\rm x_{1,\:2}=\dfrac{-20\pm \sqrt{20^2-4\cdot \:1\cdot \:64}}{2\cdot \:1}\)
After solving:
x = 4 or x = -16
Thus, the solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ5
