SOLUTION: I need help on writing equations using symbols.. Here it is : When you square five times a number you get three more than the number.

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Question 859286: I need help on writing equations using symbols..
Here it is : When you square five times a number you get three more than the number.

Found 2 solutions by ewatrrr, rothauserc:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Question States**
(5x)^2 = x + 3
25x^2 - x - 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:

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be the number
(5x)^2 = x + 3
this can be solved for x using the quadratic formula if you need to

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