You can put this solution on YOUR website! Let the first number be x
Let the 2nd number be y
(1) (the squares of two numbers add to 360) (2) (the 2nd number is half the value of the first number squared)
Re-arranging (2) gives:
Now plug in for or
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For real answers, we only need to consider y=18, the y=-20 answer will lead to imaginary values of x (which is considered after the real answer section).
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For y = 18, using (1), or (both values of x work)
So the 2 possible real answers are: and
and and
…
If imaginary solutions are allowed, then the answer from our factoring must be considered.
If then (from (2))
This means or
Plugging in these values of x into (1) and (2), with y=-20, show they work.
Additional 2 answers if imaginary solutions are acceptable:
and
and and
