SOLUTION: Solve the quadratic equation 1/5x^2-3x+5/4=0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Question 800585: Solve the quadratic equation
1/5x^2-3x+5/4=0
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the quadratic equation
1/5x^2-3x+5/4=0
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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=3200 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 14.5710678118655, 0.428932188134524. Here's your graph:

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x = 15/2 + 5sqrt(2)
x = 15/2 - 5sqrt(2)

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