SOLUTION: Find all real solutions of the quadratic equation. (10y)square - 16y + 5 = 0

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Question 45428: Find all real solutions of the quadratic equation.
(10y)square - 16y + 5 = 0

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
10y^2 - 16y + 5 = 0
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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.17416573867739, 0.425834261322606. Here's your graph:

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