SOLUTION: A number is 1 more than twice another. Their squares differ by 176. What are the numbers?

Question 752011: A number is 1 more than twice another. Their squares differ by 176. What are the numbers?
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
We'll call them x and y

then

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 : .

The discriminant -2108 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -2108 is + or - .

The solution is

Here's your graph:

so we see that no pair of real numbers wtii work but

does work

:)
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