SOLUTION: If the square of a positive number is increased by the number, the result is 12. What is the number ?

Question 949587: If the square of a positive number is increased by the number, the result is 12. What is the number ?
Found 2 solutions by macston, ankor@dixie-net.com:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
If the square of a positive number is increased by the number, the result is 12. What is the number ?
n= the number
Subtract 12 from each side.

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=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -4. Here's your graph:

ANSWER: Since we are looking for a positive number, the answer is 3
CHECK:

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the square of a positive number is increased by the number, the result is 12.
x^2 + x = 12
x^2 + x - 12 = 0
Factors to
(x+4)(x-3) = 0
What is the number ?
x = 3, the positive number

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