SOLUTION: 7X(1-X)= 5(X-2)

Question 35941: 7X(1-X)= 5(X-2)
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

This is a quadratic equation because of the term, so the first step must be to set it equal to zero. To avoid a troublesome negative coefficient of , I would move everything to the right side by adding to each side:

Hopefully this will factor:

However, it does NOT. So let's invoke a quadratic equation solver from algebra.com.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=284 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.34659282473948, -1.06087853902519. Here's your graph:

I think the answer you should get from this is reduces to .

R^2 at SCC

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