document.write( "Question 1083580: X^2 + x +1 = 0 \n" ); document.write( "

Algebra.Com's Answer #697617 by KMST(5328) $\"\"$ $\"About$

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Equations are solved by finding easier equivalent equations.
\n" ); document.write( "Equivalent equations are equations that have exactly the same solutions.
\n" ); document.write( "The equations listed below are all equivalent.
\n" ); document.write( " $\"x%5E2%2Bx%2B1=0\"$
\n" ); document.write( " $\"x%5E2%2Bx%2B1%2F4%2B3%2F4=0%7D%7D%0D%0A%7B%7B%7B%28x%2B1%2F2%29%5E2%2B3%2F4=0\"$
\n" ); document.write( "There is no real solution to those equations.
\n" ); document.write( "For all real values of x,
\n" ); document.write( " $\"%28x%2B1%2F2%29%5E2%3E=0\"$ and $\"%28%2B1%2F2%29%2B3%2F4%3E=3%2F4\"$ .
\n" ); document.write( "If you are looking for complex solutions,
\n" ); document.write( " $\"%28x%2B1%2F2%29%5E2=-3%2F4\"$ ,
\n" ); document.write( " $\"x%2B1%2F2=%22+%22+%2B-+i%2Asqrt%283%29%2F2\"$ , and
\n" ); document.write( " $\"x=-1%2F2+%2B-+i%2Asqrt%283%29%2F2\"$ \n" ); document.write( "

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