SOLUTION: Use the Quadratic Formula to solve the equation. �x^2 + 7x = 8

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Question 700974: Use the Quadratic Formula to solve the equation.
�x^2 + 7x = 8
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
....write it in standard form

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=7, and c=-8

Square 7 to get 49

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

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!

The quadratic formula finds 2 values for
called the roots that satisfy this equation.
The equation has to be in the general form

For your equation:

----------

and

--------------
Check the solutions

close enough

OK
Here's the plot of the equation: