SOLUTION: the square of anumber exceeds 11 times the number by 312. find the number.

Question 36848: the square of anumber exceeds 11 times the number by 312. find the number.
Found 2 solutions by checkley71, vidhyak:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X~2=11X+312 OR X~2-11X-312=0 OR (X-24)(X+13)=0 OR X=24 & X=-13
Answer by vidhyak(98) (Show Source): You can put this solution on YOUR website!
the square of anumber exceeds 11 times the number by 312. find the number.

Let the number be x and sqaure of the number x^2
x^2 - 11x = 312
x^2 - 11x - 312 = 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=1369 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 24, -13. Here's your graph:

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