SOLUTION: Solve quadratic equation by using the quadratic formula. x2-x-6=0

Question 84850: Solve quadratic equation by using the quadratic formula.
x2-x-6=0
Found 2 solutions by jim_thompson5910, Spec80:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -2. Here's your graph:

Answer by Spec80(9) (Show Source): You can put this solution on YOUR website!
So first the quadratic formula is:

For our problem, it says . The generaly formula for the quadratic equation is therefore it means that in our case, a=1 , b= -1, and c=6 .
From here, we can plug these values into the formula to make it look like:

When we simplfy this we first get:

At this point it becomes clear that your problem does not have a solution since we cannot take the because we cannot take the square root of negative numbers.
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