SOLUTION: Please help!! The problem is 4m^2 +25=20m. This is what I have.. 4m^2- 20m+ 25=0. I used the formula b^2 - 4ac and the answer is 400-400=0. The discriminant is zero so there is o

Question 144184: Please help!! The problem is 4m^2 +25=20m.
This is what I have.. 4m^2- 20m+ 25=0. I used the formula b^2 - 4ac and the answer is 400-400=0. The discriminant is zero so there is only one answer. But I can't figure out the #.. Any help is greatly appreciated!!! Thanks.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 20m from both sides.

Rearrange the terms

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=4, b=-20, and c=25

Negate -20 to get 20

Square -20 to get 400 (note: remember when you square -20, 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

Multiply 2 and 4 to get 8

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

--------------------------------------------------
Answer:

So the only solution is

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