document.write( "Question 195300: What is the solution of the equation 2xsquared + 8x -25=5?.Can anyone help me. I will really appreciate your help. Thanks. \n" ); document.write( "

Algebra.Com's Answer #146476 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E2+%2B+8x+-25+=+5\"$
\n" ); document.write( "I'll use the method called \"completing the square\"
\n" ); document.write( "First get all constant terms on the right side, then
\n" ); document.write( "divide both sides by $\"2\"$
\n" ); document.write( "take 1/2 of the coefficient of the $\"x\"$ term,
\n" ); document.write( "square it, then add it to both sides. The left side
\n" ); document.write( "will automatically become a perfect square.
\n" ); document.write( " $\"2x%5E2+%2B+8x+=+30\"$
\n" ); document.write( " $\"x%5E2+%2B+4x+=+15\"$
\n" ); document.write( " $\"x%5E2+%2B+4x+%2B+%284%2F2%29%5E2+=+15+%2B+%284%2F2%29%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+4x+%2B+4+=+15+%2B+4\"$
\n" ); document.write( " $\"%28x+%2B+2%29%5E2+=+19\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"x+%2B+2+=+sqrt%2819%29\"$
\n" ); document.write( " $\"x+=+sqrt%2819%29+-+2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+%2B+2+=+-sqrt%2819%29\"$
\n" ); document.write( " $\"x+=+-sqrt%2819%29+-+2\"$
\n" ); document.write( "I'll check one solution:
\n" ); document.write( " $\"2x%5E2+%2B+8x+-25+=+5\"$
\n" ); document.write( " $\"2%2A%28-sqrt%2819%29+-2%29%5E2+%2B+8%2A%28-sqrt%2819%29+-+2%29+-+25+=+5\"$
\n" ); document.write( " $\"2%2A%2819+%2B+4%2Asqrt%2819%29+%2B+4%29+-+8%2Asqrt%2819%29+-+16+-+25+=+5\"$
\n" ); document.write( " $\"38+%2B+8%2Asqrt%2819%29+%2B+8+-+8%2Asqrt%2819%29+-+16+-+25+=+5\"$
\n" ); document.write( " $\"46+-+41+=+5\"$
\n" ); document.write( " $\"5+=+5\"$
\n" ); document.write( "OK \n" ); document.write( "

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