document.write( "Question 621573: Please help me solve the equation 8x^2+28=36 I need to factor for the larger and smaller values. I would appreciate if I could get all steps involved. \n" ); document.write( "

Algebra.Com's Answer #390820 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+8x%5E2+%2B+28x+=+36+\"$
\n" ); document.write( "Divide both sides by $\"+4+\"$
\n" ); document.write( " $\"+2x%5E2+%2B+7x+=+9+\"$
\n" ); document.write( "Divide both sides by $\"+2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%287%2F2%29%2Ax+=+9%2F2+\"$
\n" ); document.write( "I will complete the square
\n" ); document.write( " $\"+x%5E2+%2B+%287%2F2%29%2Ax+%2B+%287%2F4%29%5E2+=+72%2F16+%2B+%287%2F4%29%5E2+\"$
\n" ); document.write( " $\"+%28+x+%2B+7%2F4+%29%5E2++=+72%2F16+%2B+49%2F16+\"$
\n" ); document.write( " $\"+%28+x+%2B+7%2F4+%29%5E2+=+121%2F16+\"$
\n" ); document.write( " $\"+%28+x+%2B+7%2F4+%29%5E2+=+%2811%2F4%29%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+%2B+7%2F4+=+11%2F4+\"$
\n" ); document.write( " $\"+x+=+11%2F4+-+7%2F4+\"$
\n" ); document.write( " $\"+x+=+1+\"$
\n" ); document.write( "and also,
\n" ); document.write( " $\"+x+%2B+7%2F4+=+-11%2F4+\"$
\n" ); document.write( " $\"+x+=+-9%2F2+\"$
\n" ); document.write( "-------------
\n" ); document.write( "I'll check the 2nd answer:
\n" ); document.write( " $\"+8x%5E2+%2B+28x+=+36+\"$
\n" ); document.write( " $\"+8%2A%28-9%2F2%29%5E2+%2B+28%2A%28-9%2F2%29+=+36+\"$
\n" ); document.write( " $\"+8%2A%2881%2F4%29+-+252%2F2+=+36+\"$
\n" ); document.write( " $\"+162+-+126+=+36+\"$
\n" ); document.write( " $\"+36+=+36+\"$
\n" ); document.write( "OK \n" ); document.write( "

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