what is the solution to this equation

Question

I already did this on paper. I want to know if I got it correct. what do you think is the answer to this quadratic (parabola) equation?

$-x^2-2x+1 =0 $

Answer 1

If you want to find the roots of the parabola ($-x^2-2x+1=0$)

Try:

• Eliminating the negative of the leading coefficient by multiplying by $-1$
• Try factoring (isn't going to work in this case)
• Use the quadratic formula: $$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a},$$ where $a$, $b$, $c$ are the coefficients in the equation $ax^2+bx+c=0$
• Try finding the $a$, $b$, $c$ values of $x^2+2x-1=0$

In the end, your solution(s) should be:

$$x=-1\pm\sqrt{2}$$