SOLUTION: Can you please show me how to solve this equation using the quadratic formula (x-5)(x+1) = 4

Question 171582: Can you please show me how to solve this equation using the quadratic formula
(x-5)(x+1) = 4
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Can you please show me how to solve this equation using the quadratic formula
(x-5)(x+1) = 4
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get it into quadratic form. Multiply the binomials.
x^2 - 4x - 5 = 4
x^2 - 4x - 9 = 0 (quadratic form)

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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5.60555127546399, -1.60555127546399. Here's your graph:

It's 2 + sqrt(13)
and 2 - sqrt(13)

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