Asked by Lily
Find the exact solutions of x^2 - (y - 12)^2 = 144 and y = -x^2.
No solution?
No solution?
Answers
Answered by
Steve
second verse, same as the first:
y = -x^2, so
x^2 - (-x^2 - 12)^2 = 144
x^2 - x^4 - 24x^2 - 144 = 144
x^4 + 23x^2 + 288 = 0
again, the discriminant is negative, so there are no solutions.
x=0 works only in the 2nd equation
(±12,12) only works in the first equation
y = -x^2, so
x^2 - (-x^2 - 12)^2 = 144
x^2 - x^4 - 24x^2 - 144 = 144
x^4 + 23x^2 + 288 = 0
again, the discriminant is negative, so there are no solutions.
x=0 works only in the 2nd equation
(±12,12) only works in the first equation
Answered by
Lily
Thank you!
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