SOLUTION: The difference of square of 2 number is 180. The square of smaller number is 8 times the larger number. Find the two numbers.

Question 534075: The difference of square of 2 number is 180. The square of smaller number is 8 times the larger number. Find the two numbers.
Answer by boilpoil(127) (Show Source): You can put this solution on YOUR website!
Let the smaller number be x
Then the larger number be

1. x^2+80=0
2. x-12=0 ***Set each of the factors of the equation equal to 0***
3. x+12=0

1.
=+_

x=4i, -4i

2. x-12=0
x=12

3. x+12=0
x=-12

So x=4i, -4i, 12, -12

For the larger number... you calculate yourself just substitute it (I think you are capable of this because you have already started calculating something so complicated as this.

Note: +_ stands for Positive/Negative sign
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