document.write( "Question 347264: Each side of a sqaure is 4 meters long. When each side is increased by x meters, the area is doubled. Find the value of x. \n" ); document.write( "

Algebra.Com's Answer #248336 by checkley77(12844) $\"\"$ $\"About$

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2*4^2=(4+x)^2
\n" ); document.write( "2*16=16+8x+x^2
\n" ); document.write( "x^2+8x+16-32=0
\n" ); document.write( "x^2+8x-16=0
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(-8+-sqrt[8^2-4*1*-16])/2*1
\n" ); document.write( "x=(-8+-sqrt[64+64])/2
\n" ); document.write( "x=(-8+-sqrt128)/2
\n" ); document.write( "x=(-8+-11.314)/2
\n" ); document.write( "x=(-8+11.314)/
\n" ); document.write( "x=3.314/2
\n" ); document.write( "x=1.657 ans. for the increased length of the sides.
\n" ); document.write( "Proof:
\n" ); document.write( "2*4^2=(4+1.657)^2
\n" ); document.write( "2*16=5.657^2
\n" ); document.write( "32=32 \n" ); document.write( "

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