SOLUTION: the square of a positive number increased by 4 times the number is equal to 140 find the number

Question 955258: the square of a positive number increased by 4 times the number is equal to 140 find the number
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Let x=the number

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=576 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10, -14. Here's your graph:

x=10 ANSWER: The number is 10
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