SOLUTION: find all real solutions to each equation x^2+x+√x^2+x-2=0

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Question 312699: find all real solutions to each equation
x^2+x+√x^2+x-2=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graphing the function, it looks like there are no real solutions.
The function never crosses the x-axis(=0).
+graph%28+300%2C+300%2C+-10%2C+10%2C+-5%2C+15%2Cx%5E2%2Bx%2Bsqrt%28x%5E2%2Bx-2%29%29+
.
.
.
Algebraically,
x%5E2%2Bx%2Bsqrt%28x%5E2%2Bx-2%29=0
sqrt%28x%5E2%2Bx-2%29=-x%5E2-x
x%5E2%2Bx-2=x%5E4%2B2x%5E3%2Bx%5E2
x%5E4%2B2x%5E3-x%2B2=0
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E4%2B2x%5E3-x%2B2%29+
No real solutions.