document.write( "Question 1027646: Find all complex-number solutions\r
\n" ); document.write( "\n" ); document.write( "2x^2-3x-5=0\r
\n" ); document.write( "\n" ); document.write( "I just need to see steps on how to break this down. I know the first part is adding 5 to make C.
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Algebra.Com's Answer #642885 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Not necessarily the first step; some flexibility is possible in the steps.\r
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\n" ); document.write( "\n" ); document.write( "If you EXPECT complex solutions, then either solve using Completing the Square, or go directly to the general solution of a quadratic formula. You are maybe intent on Completing The Square, since you mention \"first part is adding 5...\".\r
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\n" ); document.write( "\n" ); document.write( "\"2%28x%5E2-3x%2F2-5%2F2%29=0\"
\n" ); document.write( "\"2%28x%5E2-3x%2F2%2B%283%2F%282%2A2%29%29%5E2-%283%2F%282%2A2%29%29%5E2-5%2F2%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2%28x%5E2-3x%2F2-%283%2F4%29%5E2-9%2F16-5%2F2%29=0\"
\n" ); document.write( "You should recognize what that was....
\n" ); document.write( "\"2%28%28x-3%2F4%29%5E2-9%2F16-5%2F2%29=0\"
\n" ); document.write( "\"2%28%28x-3%2F4%29%5E2-9%2F16-5%2A8%2F16%29=0\"
\n" ); document.write( "\"2%28%28x-3%2F4%29%5E2-14%2F16%29=0\"
\n" ); document.write( "\"2%28x-3%2F4%29%5E2-2%2A14%2F16=0\"
\n" ); document.write( "\"2%28x-3%2F4%29%5E2-14%2F8=0\"
\n" ); document.write( "\"2%28x-3%2F4%29%5E2-7%2F4=0\"
\n" ); document.write( "...but, multiply left and right members by \"1%2F2\"...
\n" ); document.write( "\"%28x-3%2F4%29%5E2-7%2F8=0\"
\n" ); document.write( "\"%28x-3%2F4%29%5E2=7%2F8\"-------solution will not contain an Imaginary part.
\n" ); document.write( "\"x-3%2F4=0%2B-+sqrt%287%2F8%29\"
\n" ); document.write( "\"x=-3%2F4%2B-+sqrt%287%2F8%29\"
\n" ); document.write( "\"x=-3%2F4%2B-+sqrt%287%2A8%29%2F8\"
\n" ); document.write( "\"x=-3%2F4%2B-+2%2Asqrt%287%2A2%29%2F%282%2A4%29\"
\n" ); document.write( "\"highlight%28x=-3%2F4%2B-+sqrt%2814%29%2F4%29\"\r
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\n" ); document.write( "\n" ); document.write( "As a way of checking quality of the result, find the discriminant on the original equation.
\n" ); document.write( "\"%28-3%29%5E2-4%2A2%2A%28-5%29\"
\n" ); document.write( "\"9%2B8%2A5\"
\n" ); document.write( "\"49\", A POSITIVE NUMBER, so you expect two REAL solutions for x. \n" ); document.write( "
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