document.write( "Question 620115: x2(x squared) + 16=8x
\n" ); document.write( "I changed your problem. See the solution section below for an explanation. \n" ); document.write( "
Algebra.Com's Answer #389921 by mathsmiles(68)\"\" \"About 
You can put this solution on YOUR website!
x^2 + 16 = 8x
\n" ); document.write( "First, we need to move everything to one side of the equation and set it equal to zero.\r
\n" ); document.write( "\n" ); document.write( "x^2 + 16 = 8x Subtract 8x from both sides:
\n" ); document.write( "x^2 - 8x + 16 = 0 Now factor this. We're looking for two factors of 16 whose difference is 8. Hmm... Are you sure you didn't copy the problem down wrong and it's
\n" ); document.write( "x^2 + 16 = -8x (minus 8x)? I bet it is, so I'm going to solve that instead:\r
\n" ); document.write( "\n" ); document.write( "x^2 + 16 = -8x Add 8x to both sides
\n" ); document.write( "x^2 + 8x + 16 = 0
\n" ); document.write( "(x + ...)(x + ...) = 0 Now find two factors of 16 whose sum is 8. That would be 4x4=16 since 4+4= 8
\n" ); document.write( "(x + 4) (x + 4) = 0
\n" ); document.write( "At least one of these factors needs to be zero for this to be true:
\n" ); document.write( "(x+4) = 0 | (x+4) = 0
\n" ); document.write( "Subtract 4 from both sides:
\n" ); document.write( "x = -4\r
\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "x^2 + 16 = -8x
\n" ); document.write( "(-4)^2 + 16 = -8(-4)
\n" ); document.write( "16 + 16 = 32
\n" ); document.write( "32 = 32 Check!
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