SOLUTION: I am trying to solve x^2+14x=5. I make it to the middle of the problem and then get lost. Please help!

Question 476476: I am trying to solve x^2+14x=5.
I make it to the middle of the problem and then get lost. Please help!
Found 3 solutions by jim_thompson5910, Edwin McCravy, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Get every term to the left side.

For more help, check out this quadratic formula solver.

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=14, and c=-5

Square 14 to get 196

Multiply to get

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

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

For more help, check out this quadratic formula solver.
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

a=1, b=14, c=-5 Edwin

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

...in order to solve for x, we need to use the quadratic formula

...note: , and

solutions:

or

check:
...plug in

.....round

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