document.write( "Question 494708: if a square have the sides x+4, and a diagonal line of x+8 what is the value of x?(how would you set that problem up) \n" ); document.write( "

Algebra.Com's Answer #335880 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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if a square have the sides x+4, and a diagonal line of x+8 what is the value of x?
\n" ); document.write( "(how would you set that problem up)
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\n" ); document.write( "Using pythag c^2 = a^2 + b^2
\n" ); document.write( "both a and b = x+4) and c = (x+8) so we have
\n" ); document.write( "(x+8)^2 = 2(x+4)^2
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 16x + 64 = 2(x^2 +8x + 16)
\n" ); document.write( "x^2 + 16x + 64 = 2x^2 + 16x + 32
\n" ); document.write( "Combine like terms on the right
\n" ); document.write( "0 = 2x^2 - x^2 + 16x - 16x + 32 - 64
\n" ); document.write( "x^2 - 32 = 0
\n" ); document.write( "x^2 = 32
\n" ); document.write( "x = $\"sqrt%2832%29\"$
\n" ); document.write( "x = $\"4%2Asqrt%282%29\"$ is the value of x
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