SOLUTION: 2a^2-46a+254=0 thank you!

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Question 750575: 2a^2-46a+254=0 thank you!
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
2a^2-46a+254=0
first, divide both sides by 2:
a^2-23a+127=0
applying the "quadratic formula" yields:
a = {13.80, 9.21}
.
details of quadratic formula 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=21 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 13.7912878474779, 9.20871215252208. Here's your graph:
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