SOLUTION: {{{(x + 3)^2 = 28}}}

Question 143961:

Found 2 solutions by nabla, Zircon:
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
(x + 3)^2 = 28
expand LEFT
x^2+6x+9=28
shift RIGHT to LEFT
x^2+6x-19=0
USE QUADRATIC FORMULA

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=112 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.29150262212918, -8.29150262212918. Here's your graph:

Additionally,
(x + 3)^2 = 28
x+3=+/- sqrt(28)
x=-3+/-sqrt(28)
x=-3+/- 2sqrt(7)
Answer by Zircon(1) (Show Source): You can put this solution on YOUR website!

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