document.write( "Question 312699: find all real solutions to each equation
\n" ); document.write( "x^2+x+√x^2+x-2=0 \n" ); document.write( "

Algebra.Com's Answer #223617 by Fombitz(32388) $\"\"$ $\"About$

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Graphing the function, it looks like there are no real solutions.
\n" ); document.write( "The function never crosses the x-axis(=0).
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-5%2C+15%2Cx%5E2%2Bx%2Bsqrt%28x%5E2%2Bx-2%29%29+\"$
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\n" ); document.write( "Algebraically,
\n" ); document.write( " $\"x%5E2%2Bx%2Bsqrt%28x%5E2%2Bx-2%29=0\"$
\n" ); document.write( " $\"sqrt%28x%5E2%2Bx-2%29=-x%5E2-x\"$
\n" ); document.write( " $\"x%5E2%2Bx-2=x%5E4%2B2x%5E3%2Bx%5E2\"$
\n" ); document.write( " $\"x%5E4%2B2x%5E3-x%2B2=0\"$
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E4%2B2x%5E3-x%2B2%29+\"$
\n" ); document.write( "No real solutions. \n" ); document.write( "

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