# SOLUTION: Solve each equation by using the quadratic formula. 3a^2-4a=-5

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Question 526676: Solve each equation by using the quadratic formula.
3a^2-4a=-5

Found 2 solutions by oberobic, stanbon:
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 : . The discriminant -44 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -44 is + or - . The solution is Here's your graph:

You can put this solution on YOUR website!
Solve each equation by using the quadratic formula.
3a^2-4a=-5
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3a^2-4a+5 = 0
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a = [4 +- sqrt(16-4*3*5)]/6
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a = [4 +- sqrt(-44)]/6
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a = [4+- 2*sqrt(11)]/6
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a = (2/3)+-(1/3)sqrt(11)
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Cheers,
Stan H.
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