What are the zero(s) of: x^2 = 6x + 6 = 0?

1 Answer
Nov 9, 2015

3+ sqrt(15) , 3- sqrt(15)

Explanation:

We can use the quadratic formula to find the zeros. We are given:

x^2=6x+6

We can arrange this into a quadratic equation:

x^2-6x-6=0

The quadratic formula:

x=(-b(+/-) sqrt(b^2-4ac))/(2a)

If:
a=1, b=-6, c=-6
Then:

x=(-(-6)(+/-) sqrt((-6)^2-4(1)(-6)))/(2(1))= (6(+/-) sqrt(36+24))/2
x=(6(+/-)sqrt(60))/2=(6(+/-) 2sqrt(15))/2= 3(+/-) sqrt(15)