SOLUTION: Solve using quadratic formula: 1.) 3a^2=6a-3 2.) x^2=-3x+40 3.) 9x^2-11=6x 4.) 4a^2-8+a Thank you

Question 594939: Solve using quadratic formula:
1.) 3a^2=6a-3
2.) x^2=-3x+40
3.) 9x^2-11=6x
4.) 4a^2-8+a
Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve using quadratic formula:
1.) 3a^2=6a-3
2.) x^2=-3x+40

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=169 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5, -8. Here's your graph:

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Do the others the same way.
---------------
3.) 9x^2-11=6x
4.) 4a^2-8+a
Thank you
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