SOLUTION: when the sum of 4 and three times a positive number is subtracted from the square of the number, 0 results. Find the number

Algebra.Com
Question 745833: when the sum of 4 and three times a positive number is subtracted from the square of the number, 0 results. Find the number
Answer by savvyhush23(50)   (Show Source): You can put this solution on YOUR website!
when the sum of 4 and three times a positive number is subtracted from the square of the number, 0 results. Find the number
let x is the number:
when the sum of 4 and three times a positive number:
is subtracted from the square of the number, 0 results:

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=25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4, -1. Here's your graph:


Therefore the positive number is: 4

RELATED QUESTIONS

When the sum of 12 and 10 times a positive number is subtracted from the square of the... (answered by Fombitz)
When the sum of 7 and twice a positive number is subtracted from the square of the​ (answered by ikleyn)
When the sum of 8 and twice a positive number is subtracted from the square of the... (answered by htmentor)
When the sum of 5 and twice a positive number is subtracted from the square of the number (answered by mananth)
When the sum of 6 and twice a positive number is subtracted from a square of the number,... (answered by josgarithmetic)
When the sum of 514 and three times a positive number is subtracted from the square of... (answered by lwsshak3)
When the sum of 488 and three times a positive number is subtracted from the square of... (answered by checkley79)
When the sum of 546 and three times a positive number is subtracted from the square of... (answered by nerdybill)
When the sum of 618 and three times a positive number is subtracted from the square of... (answered by josgarithmetic)