SOLUTION: please help me! can someone pls? :( solve the equation. check your answers. 5-w/w + 5/2= -4/w

Question 469610: please help me! can someone pls? :(
solve the equation. check your answers.
5-w/w + 5/2= -4/w
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
5-w/w+5/2=-4/w
10-2w/w+5=-4/w
(10-2w)w=-4w-20
10w-2w2=-4w-20
2w2-14w-20=0
w2-7w-10=0

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=89 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 8.2169905660283, -1.2169905660283. Here's your graph:

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