Question

I ASK SO MUCH OF YOUR HELP, PLEASE. Let x + y = 11 and x^2 + y^2 = 325. What is the value of x^3 + y^3? PLEASE EXPLAIN, TOO.

Answer 1

x³+y³=4697

Explanation:

x+y=11

y=11-x

325=x²+y²

=x²+(11-x)(11-x)

=x²+121-11x-11x+x²

325=2x²-22x+121

0=2x²-22x-204

=(2x+12)(x-17)

0=2x+12 or 0=x-17

-12=2x 17=x

-6=x

y=11-x

y=17 or -6

(-6,17) or (17,-6)

=x³+y³

=(-6)³+(17)³

=4697