document.write( "Question 859644: If three is added to twice the square of an integer, the result is equal to seven times the integer. Find the integer. \n" ); document.write( "

Algebra.Com's Answer #517891 by ben720(159) $\"\"$ $\"About$

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If three is added to twice the square of x, its 7x
\n" ); document.write( " $\"3%2B2x%5E2=7x\"$
\n" ); document.write( "Subtract 7x from both sides
\n" ); document.write( " $\"2x%5E2-7x%2B3=0\"$
\n" ); document.write( "Use the quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "Substitute a, b, c
\n" ); document.write( " $\"x=%287%2B-sqrt%287%5E2-4%2A2%2A3%29%29%2F%282%2A2%29\"$
\n" ); document.write( "Multiply
\n" ); document.write( " $\"x=%287%2B-sqrt%2849-24%29%29%2F4\"$
\n" ); document.write( " $\"x=%287%2B-sqrt%2825%29%29%2F4\"$
\n" ); document.write( "+-sqrt(25) is 5 or -5. First, we'll do +5
\n" ); document.write( " $\"x=%287%2B5%29%2F4\"$
\n" ); document.write( " $\"x=12%2F4=3\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"x=%287-5%29%2F4\"$
\n" ); document.write( " $\"x=2%2F4=2\"$
\n" ); document.write( "X = 3 or 2 \n" ); document.write( "

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