document.write( "Question 263752: One number is 4 times another. Their product is 4 times their sum. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #194366 by jsmallt9(3758) $\"\"$ $\"About$

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There is an error in a solution provided by another tutor. It is correct up to:
\n" ); document.write( " $\"4x%5E2+=+20x\"$
\n" ); document.write( "This is a quadratic equation. We should get one side equal to zero (by subtracting 20x from each side:
\n" ); document.write( " $\"4x%5E2+-+20x+=+0\"$
\n" ); document.write( "Factor:
\n" ); document.write( " $\"4x%28x+-+5%29+=+0\"$
\n" ); document.write( "And use the Zero Product Property which tells us that this product is zero if one of the factors is zero:
\n" ); document.write( " $\"4x+=+0\"$ or $\"x+-+5+=+0\"$
\n" ); document.write( "Solving these we get:
\n" ); document.write( " $\"x+=+0\"$ or $\"x+=+5\"$
\n" ); document.write( "For x = 0, the other number is 4x = 4(0) = 0.
\n" ); document.write( "For x = 5, the other number is 4x = 4(5) = 20.
\n" ); document.write( "So the two numbers are (0 and 0) or (5 and 20).\r
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