How do you solve -x^2 +2x +1 = 0 using the quadratic formula?

1 Answer
May 24, 2016

x={-sqrt2+1,sqrt2 +1}

Explanation:

-x^2+2x+1=0

ax^2+bx+c=0

Delta=sqrt(b^2-4*a*c)

x=(-b±Delta)/(2a)

a=-1
b=2
c=1

Delta=sqrt(2^2+4*1*1)

Delta=sqrt(4+4)

Delta=sqrt 8

Delta=2sqrt2

x_1=(-2-2sqrt2)/(2*(-1)

x_1=-2((1+sqrt2))/(-2)

x_1=1+sqrt2

x_2=(-2+2sqrt2)/(-2)

x_2=(-2(1-sqrt2))/(-2)

x_2=1-sqrt2