The solution of the quadratic equation x² + 2x + 1 = 0 will be x = –1. Then the correct option is D.
The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic equation is given below.
x² + 2x + 1 = 0
Then we have a = 1, b = 2, and c = 1.
[tex]\rm x = \dfrac{-2\pm \sqrt{2^2 - 4*1*1}}{2*1}\\\\x = \dfrac{-2 \pm \sqrt{4 - 4}}{2}\\[/tex]
Solve the equation further, we have
x = –2/2
x = –1
Then the correct option is D.
More about the solution of the quadratic equation link is given below.
https://brainly.com/question/17376136
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