document.write( "Question 1204191: what two numbers add to -4 and multiply to 5 \n" ); document.write( "
Algebra.Com's Answer #840277 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "This is something to do using trial-and-error.
\n" ); document.write( "It's implied that the numbers in question are integers.\r
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\n" ); document.write( "\n" ); document.write( "Here's all of the ways to multiply to 5, using only integers.
\n" ); document.write( "1*5 = 5
\n" ); document.write( "(-1)*(-5) = 5
\n" ); document.write( "Luckily the list is really short. \r
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\n" ); document.write( "\n" ); document.write( "Then we add up each pair
\n" ); document.write( "1+5 = 6
\n" ); document.write( "-1+(-5) = -6\r
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\n" ); document.write( "\n" ); document.write( "We find that there aren't any pairs of numbers that add to -4 and multiply to 5.\r
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\n" ); document.write( "\n" ); document.write( "This will mean x^2-4x+5 cannot be factored over the rational numbers.\r
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\n" ); document.write( "\n" ); document.write( "If you wanted, you can use the quadratic formula to solve x^2-4x+5 = 0
\n" ); document.write( "Doing so leads to \"no real number solutions\" since the discriminant is negative.
\n" ); document.write( "This is further evidence there aren't pairs of integers that add to -4 and multiply to 5.
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