SOLUTION: The product of two numbers is 10. One number is 3 more than the other number. What is the quadratic equation that models these numbers? Solve the quadratic equation to find the

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Question 334436: The product of two numbers is 10. One number is 3 more than the other number. What is the quadratic equation that models these numbers?
Solve the quadratic equation to find the pairs of numbers.
Any help would be greatly appreciated I'm really stuck!!!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x, & y
..
product =10
xy=10
y= 10/x
x-y=3
..
plug value of y in second equation
x-%2810%2Fx%29=3
%28x%5E2-10%29%2Fx+=3
x%5E2-10=+3x
x^2-3x-10=0
x^2-5x+2x-10=0
x(x-5)+2(x-5)=0
(x-5)(x+2)=0
x= 5 OR -2
x=5, y=2
x=-2, y=-5