SOLUTION: Solve for x x^2+4x+4=7 Thanks in advance.

Question 87867: Solve for x
x^2+4x+4=7
Thanks in advance.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Subtract 7 from both sides

Combine like terms

Now let's use the quadratic formula to solve for x:
Starting with the general quadratic

the general form of the quadratic equation is:

So lets solve

Plug in a=1, b=4, and c=-3

Square 4 to get 16

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Which approximate to

or

So our solutions are:
or

Notice when we graph we get:

when we use the root finder feature on a calculator, we find that and .So this verifies our answer

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