SOLUTION: Find the intercepts of the following problem: (x+y)^2 + (4x-7y)^2 + 10=9

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Question 919361: Find the intercepts of the following problem:
(x+y)^2 + (4x-7y)^2 + 10=9
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2By%29%5E2+%2B+%284x-7y%29%5E2+%2B+10=9
to find x intercepts, set y=0

%28x%2B0%29%5E2+%2B+%284x-7%2A0%29%5E2+%2B+10=9

x%5E2+%2B+%284x%29%5E2+=9-10
x%5E2+%2B+16x%5E2+=-1
17x%5E2+=-1
x%5E2+=-1%2F17
x+=sqrt%28-1%2F17%29
x+=sqrt%28-1%29%2Fsqrt%2817%29
solutions:
x+=i%2Fsqrt%2817%29 or x+=-i%2Fsqrt%2817%29..... complex root, no real solution



to find y intercepts, set x=0

%280%2By%29%5E2+%2B+%284%2A0-7y%29%5E2+%2B+10=9

y%5E2+%2B+%28-7y%29%5E2+=9-10
y%5E2+%2B+49y%5E2+=-1
50y%5E2+=-1
y%5E2+=-1%2F50
y+=sqrt%28-1%2F50%29
y+=sqrt%28-1%29%2Fsqrt%2850%29
solutions:
y+=i%2Fsqrt%2850%29 or y+=-i%2Fsqrt%2850%29 .... complex root, no+real solution
so, there is neither an x nor a y intercept intercepts