document.write( "Question 1083581: X^2 + x + 1 = 0. 5x^2 - 5x - 6 = 0. 9x^2 - 6x + 1 = 0 \n" ); document.write( "

Algebra.Com's Answer #697611 by Boreal(15235) $\"\"$ $\"About$

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X^2 + x + 1 = 0. 5x^2 - 5x - 6 = 0. 9x^2 - 6x + 1 = 0
\n" ); document.write( "x=(1/2)(-1+/-sqrt (1-4))=(1/2)+/- i * sqrt (3)
\n" ); document.write( "5x^2-5x-6=0
\n" ); document.write( "x=(1/10)(5+/-sqrt(25+120))=(1/10)(5+/-sqrt(145))
\n" ); document.write( "9x^2-6x+1=0
\n" ); document.write( "this factors into a perfect square (3x-1)^2=0, so x=(1/3)
\n" ); document.write( "1-2+1=0 checks.
\n" ); document.write( "One graph (the first problem) has no x-intercept, and the other has numerical roots of about 1.7 and -0.7.
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Bx%2B1%2C5x%5E2-5x-6%29\"$ \n" ); document.write( "

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