document.write( "Question 1015811: Suppose the roots of an equation 2x²+3px+5q differ by 1,find the equation connecting p and q \n" ); document.write( "
Algebra.Com's Answer #632203 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Suppose the roots of an equation 2x²+3px+5q differ by 1,find the equation connecting p and q
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document.write( "Actually, there is no equation here.\r\n" );
document.write( "You missed the sign \"=\" and the right side.\r\n" );
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document.write( "But if it is \"2x%5E2+%2B+3px+%2B+5q\" = \"0\", then the roots are \r\n" );
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document.write( "\"x%5B1%5D\" = \"%28-3p+%2B+sqrt%289p%5E2-4%2A2%2A5q%29%29%2F4\", \r\n" );
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document.write( "\"x%5B2%5D\" = \"%28-3p+-+sqrt%289p%5E2-4%2A2%2A5q%29%29%2F4\".\r\n" );
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document.write( "The difference  \"x%5B1%5D\" - \"x%5B2%5D\" (in this order) is \r\n" );
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document.write( "\"%282%2Asqrt%289p%5E2+-+40q%29%29%2F4\" = \"%28sqrt%289p%5E2+-+40q%29%29%2F2\".\r\n" );
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document.write( "It is equal to 1 (or -1):\r\n" );
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document.write( "\"%28sqrt%289p%5E2+-+40q%29%29%2F2\" = +/-1.\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "(9p^2 - 40q)/4 = 1,   or   9p^2 - 40q = 4.\r\n" );
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document.write( "It is your equation for p and q.\r\n" );
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