SOLUTION: i need to find the solution set for x squared - 2x-13=0

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Question 257911: i need to find the solution set for x squared - 2x-13=0
Found 2 solutions by richwmiller, nerdybill:
Answer by richwmiller(17219)   (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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.74165738677394, -2.74165738677394. Here's your graph:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
x squared - 2x-13=0
.

.
Since you cannot factor, you must apply the quadratic equation. Doing so yields:
x = {4.74, -2.74}
.
Details of the quadratic follows:
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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.74165738677394, -2.74165738677394. Here's your graph:
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