What is x to the power of 2 minus 8x equals negative 6?

Answer 1

x2-8x=-6

Add ((1/2)8)2 to both sides (add 16 to both sides):

x2-8x+16=10

Factor the left side:

(x-4)2=10

Take the square root of both sides

x-4 = ±√(10)

Make two equations because of the plus or minus:

x-4 = √(10) and x-4 = -√(10)

Add four to both sides (works for both equations):

x = 4+√(10) and x = 4-√(10)