SOLUTION: 3x+x(x-2)=4

Question 102487: 3x+x(x-2)=4
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
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First, solve the parenthesis by multiplying x-2 by x = x^2 - 2x.

Second, collect terms.

Third, subtract 4 from both sides.

That is the equation in standard form, which can be solved with the quadratic formula.

Solved by pluggable solver: SOLVE quadratic equation with variable

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=17 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.56155281280883, -2.56155281280883. Here's your graph:

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