SOLUTION: What number is equal to three less than its square? Please help me and show me the solution if possible with detailed explanation. Thank you!

Question 766863: What number is equal to three less than its square?
Please help me and show me the solution if possible with detailed explanation. Thank you!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What number is equal to three less than its square?
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x = x^2 - 3

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=13 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.30277563773199, -1.30277563773199. Here's your graph:

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