SOLUTION: Solve the following system of nonlinear equations y=x^4-5x^2+x+10 y=-x^4+5x^2+x-4

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Question 328513: Solve the following system of nonlinear equations
y=x^4-5x^2+x+10
y=-x^4+5x^2+x-4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Set them equal to each other.
x%5E4-5x%5E2%2Bx%2B10=-x%5E4%2B5x%5E2%2Bx-4
2x%5E4-10x%5E2%2B14=0
2%28x%5E4-5x%5E2%29%2B14=0
2%28x%5E4-5x%5E2%2B25%2F4%29%2B14=50%2F4
2%28x%5E2-%285%2F2%29%29%5E2%2B56%2F4=50%2F4
2%28x%5E2-%285%2F2%29%29%5E2%2B3%2F2=0
2%28x%5E2-%285%2F2%29%29%5E2=-3%2F2
No real solutions.