SOLUTION: use the quadratic formula to solve the following. leave irrational roots in the simplest radical form . 3m^2+m-2=0 and 5p^2+3p-2=0

Question 273328: use the quadratic formula to solve the following. leave irrational roots in the simplest radical form .
3m^2+m-2=0
and
5p^2+3p-2=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
For more help, check out this quadratic formula solver.

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=3, b=1, and c=-2

Square 1 to get 1

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 3 to get 6

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

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