SOLUTION: when you square five times a number you get three more than the number

Question 937547: when you square five times a number you get three more than the number
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
(5n)^2 = n+3
25n^2 - n - 3 = 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=301 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.366987031457949, -0.326987031457949. Here's your graph:

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