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

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Answer 1 · 2015-11-09T22:09:14

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

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)#