SOLUTION: Solve the equation using the quadratic formula. 2x^2 = 30

Algebra.Com
Question 247381: Solve the equation using the quadratic formula.
2x^2 = 30

Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
is not in the form to solve using the quadratic equation. You have to get it organized in standard form.
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Subtract 30 from both sides.

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Dividing both sides by 2.

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Obviously, this is a parabola that is centered on the y-axis and crosses the y-axis at -15.
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Can this be factored? Yes.
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Perhaps odd looking, but not unreasonable. Or you can use the quadratic:
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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=60 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.87298334620742, -3.87298334620742. Here's your graph:

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