document.write( "Question 305132: solve the equation in the complex number system:\r
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\n" ); document.write( "\n" ); document.write( "45x^2+1=6x \n" ); document.write( "
Algebra.Com's Answer #218476 by dabanfield(803)\"\" \"About 
You can put this solution on YOUR website!
45x^2+1=6x\r
\n" ); document.write( "\n" ); document.write( "45x^2 - 6x + 1 = 0\r
\n" ); document.write( "\n" ); document.write( "Using the quadratic formula with a = 45, b = -6 and c = 1 we have the two solutions:\r
\n" ); document.write( "\n" ); document.write( "x = (-(-6) + sqrt((-6)^2 - 4*45*1))/(2*45) =
\n" ); document.write( "(6 +(sqrt(36-180))/90 =
\n" ); document.write( "(6 + sqrt(-144))/90 =
\n" ); document.write( "(6 + sqrt(-1)*(sqrt(144))/90
\n" ); document.write( "(6 + i*12)/90 =
\n" ); document.write( "(6 + 12i)/90\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "x = (-(-6) - sqrt((-6)^2 - 4*45*1))/(2*45) =
\n" ); document.write( "(6 - (sqrt(36-180))/90 =
\n" ); document.write( "(6 - sqrt(-144))/90 =
\n" ); document.write( "(6 - 12i)/90\r
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