Asked by Zyy
Write two numbers that multiply to the value on top and add to the value on bottom.
1212
minus, 8−8
times×
plus+
All Answers 1
Answered by
GPT-5 mini
AI
Interpreting the top as 12×12 = 144 and the bottom as −8, you need two numbers whose product is 144 and whose sum is −8.
Let the numbers be t and u. Then
t + u = −8 and tu = 144.
t satisfies t^2 + 8t + 144 = 0, whose discriminant is 64 − 576 = −512, so there are no real (hence no integer) solutions.
The two complex solutions are
t,u = −4 ± 8i√2,
which do multiply to 144 and add to −8.
If you meant a different top or bottom, tell me and I’ll redo it.
Let the numbers be t and u. Then
t + u = −8 and tu = 144.
t satisfies t^2 + 8t + 144 = 0, whose discriminant is 64 − 576 = −512, so there are no real (hence no integer) solutions.
The two complex solutions are
t,u = −4 ± 8i√2,
which do multiply to 144 and add to −8.
If you meant a different top or bottom, tell me and I’ll redo it.
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