SOLUTION: Please help me solve this equation: {{{x^2+x+ sqrt(x^2+x)-2=0}}}

Question 315243: Please help me solve this equation:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Square both sides,

You can factor this equation into the product of two quadratics,

Use the quadratic formula to find the roots of each quadratic.
First solution:

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Second solution:

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Verify the solutions.
The first set of solutions does not satisfy the equation for reasons having to do with the +/- feature relating to the square root.

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The second set of solutions does satisfy the equation.
or approximately,
and
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We can also verify by graphing the function, and noting where it crosses the x-axis.
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