SOLUTION: One positive number is 3 more than another. The sum of their squares is 149 Find both numbers. We have tried x=1st number and x +3 = 2nd number I have figured that x=7 but I c

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Question 27637: One positive number is 3 more than another.
The sum of their squares is 149 Find both numbers.
We have tried x=1st number
and x +3 = 2nd number
I have figured that x=7 but I cannot get formula written
Thanks
Answer by askmemath(368) (Show Source):
You can put this solution on YOUR website!
First Number = X
Second Number = X+3
Som of Squares =>

Given that this equals 149

Subtracting 149 on both sides

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=1156 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, -10. Here's your graph:

Since we are looking for Positive numbers X = 7
which means the second number is 10 :-)