document.write( "Question 150308: square root (x+6)+square root (X-2) = 4
\n" ); document.write( "(x+6)2+(x-2)2
\n" ); document.write( "X2+6x+6x+36+x2-2x-2x+4=42
\n" ); document.write( "2x2+8x+40=16
\n" ); document.write( "2x2+8x+24=0
\n" ); document.write( "(2x+…)(x+…)\r
\n" ); document.write( "\n" ); document.write( "I cannot find 2 numbers that equal 24 but also 8 in the middle... did I approach this exercise wrong? The task was just to solve it... \n" ); document.write( "
Algebra.Com's Answer #110286 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
square root (x+6)+square root (X-2) = 4
\n" ); document.write( "(x+6)2+(x-2)2
\n" ); document.write( "X2+6x+6x+36+x2-2x-2x+4=42
\n" ); document.write( "2x2+8x+40=16
\n" ); document.write( "2x2+8x+24=0
\n" ); document.write( "(2x+…)(x+…)
\n" ); document.write( "I cannot find 2 numbers that equal 24 but also 8 in the middle... did I approach this exercise wrong? The task was just to solve it...
\n" ); document.write( "------------
\n" ); document.write( "\"sqrt%28x%2B6%29%2Bsqrt%28X-2%29+=+4\"
\n" ); document.write( "Square both sides
\n" ); document.write( "\"%28x%2B6%29+%2B+2%2Asqrt%28x%2B6%29%2Asqrt%28x-2%29+%2B%28x-2%29+=+16\"
\n" ); document.write( "Collect terms
\n" ); document.write( "\"2x+%2B+4+%2B+2%2Asqrt%28x%2B6%29%2Asqrt%28x-2%29+=+16\"
\n" ); document.write( "Isolate radicals
\n" ); document.write( "\"2%2Asqrt%28x%2B6%29%2Asqrt%28x-2%29+=+12+-+2x\"
\n" ); document.write( "Divide by 2
\n" ); document.write( "\"sqrt%28x%2B6%29%2Asqrt%28x-2%29+=+6+-+x\"
\n" ); document.write( "Square both sides again
\n" ); document.write( "\"%28x%2B6%29%2A%28x-2%29+=+x%5E2+-+12x+%2B+36\"
\n" ); document.write( "expand
\n" ); document.write( "\"x%5E2+%2B+4x+-12+=+x%5E2+-12x+%2B+36\"
\n" ); document.write( "Collect terms
\n" ); document.write( "16x = 48
\n" ); document.write( "x = 3
\n" ); document.write( "---- Sub in 3 for x to check
\n" ); document.write( "\"sqrt%28x%2B6%29%2Bsqrt%28X-2%29+=+4\"
\n" ); document.write( "\"sqrt%283%2B6%29%2Bsqrt%283-2%29+=+4\"
\n" ); document.write( "3 + 1 = 4
\n" ); document.write( "Looks good.
\n" ); document.write( "You were squaring the binomials inside the radical, shoulda squared just the radical in the first step.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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