document.write( "Question 30637: x^2+4x=32 \n" ); document.write( "
Algebra.Com's Answer #17374 by sdmmadam@yahoo.com(530)\"\" \"About 
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x^2+4x=32 ----(1)
\n" ); document.write( "The left side is of the form a^+2ab where a=x and b = 2
\n" ); document.write( "Therefore we require b^2 = 2^2 = 4 to complete the square.
\n" ); document.write( "Adding 4 to both the sides
\n" ); document.write( "x^2+4x+4 = 32+4
\n" ); document.write( "(x+2)^2 =6^2
\n" ); document.write( "Taking the square root
\n" ); document.write( "(x+2) = +6 or -6
\n" ); document.write( "That is x = -2+6 or x = -2-6
\n" ); document.write( "That is x = 4 or -8
\n" ); document.write( "Answer: x = 4 and x = -8
\n" ); document.write( "Verification: x = 4 in (1)
\n" ); document.write( "LHS = x^2+4x = 4^2+4X(4)= 16+16 = 32 = RHS
\n" ); document.write( "x = -8 in (1)
\n" ); document.write( "LHS = x^2+4x = (-8)^2+4X(-8)= 64-32 = 32 = RHS
\n" ); document.write( "Therefore our values are correct.\r
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