Question

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x =

Answer 1

To solve the roots of a quadratic equation, you use the quadratic formula:

$-b+/- \sqrt{ b^{2}-4ac }$

for a quadratic equation with a general equation:

$a x^{2} +bx+c=0$

Hence, for this problem, a = -1, b = 2 and c=1. The roots would be 2.414 and -0.414. Thus, the positive root is 2.414. There must be something wrong with your given or the choices. Just follow my given example for your guidance. 

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Answer 2

I hope this helps you



x²-2x-1=0


Δ=(-2)²-4.1.(-1)


Δ=8


X1=2+√8/2=1+√2


X2=2-√8/2=1-√2


or complete perfect square


x²-2x+1-2=0


(x-1)²=2


X-1=√2


X=1+√2


X-1=-√2


X=1-√2