SOLUTION: (x-2)^2 +4 =10

Question 340910: (x-2)^2 +4 =10
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
(x-2)^2 +4 =10
(x-2)(x-2) +4 =10
x^2-2x-2x+4 +4 =10
x^2-4x+8 =10
x^2-4x-2 = 0
Solve by applying the quadratic formula to get:
x = {4.449, -0.449}
.
Details of quadratic to follow:
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=24 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.44948974278318, -0.449489742783178. Here's your graph:

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