SOLUTION: I am having trouble with the quadratic formula: {{{x^2-2x=15x-10}}} Thank you for your time.

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Question 179457This question is from textbook
: I am having trouble with the quadratic formula:
Thank you for your time. This question is from textbook

Found 2 solutions by stanbon, nerdybill:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
quadratic formula:

------------------
Rearrange:
x^2 - 17x + 10 = 0
x = [17 +- sqrt(17^2 - 4*1*10] / 2
x = [17 +- sqrt(249)]/2
x = [17 +- 15.78..]/2
x = 16.39.. or x = 0.6101...
Cheers,
Stan H.
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

Start by moving all terms to the left:


Since, you can't factor, you must apply the quadratic equation. Doing so yields:
x = {16.390, 0.610}
.
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=249 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 16.3898669190297, 0.61013308097025. Here's your graph:
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