SOLUTION: 30m^2-77m-10=0

Question 877076: 30m^2-77m-10=0

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

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

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=30, b=-77, and c=-10

Negate -77 to get 77

Square -77 to get 5929 (note: remember when you square -77, you must square the negative as well. This is because .)

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 30 to get 60

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

Note: You can also write the final answers as or

You can condense that into

These are exact answers. To find the approximate answers, use a calculator to evaluate the expressions.
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