document.write( "Question 116538: Use the quadratic formula to solve the equation.\r
\n" ); document.write( "\n" ); document.write( "2x^2+ 12x =-5 \n" ); document.write( "

Algebra.Com's Answer #84942 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the quadratic formula to solve the equation.
\n" ); document.write( "2x^2+ 12x =-5
\n" ); document.write( ":
\n" ); document.write( "Put the equation in the ax^2 + bx + c = 0 form, add 5 to both sides:
\n" ); document.write( "2x^2 + 12x + 5 = 0
\n" ); document.write( ":
\n" ); document.write( "In this equation a = 2; b = 12; c = 5
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "Substitute:
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%2812%5E2-4%2A2%2A5+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28144+-+40+%29%29%2F%284%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28104%29%29%2F%284%29+\"$
\n" ); document.write( ":
\n" ); document.write( "Find the square root of 104:
\n" ); document.write( " $\"x+=+%28-12+%2B-+10.198%29%2F%284%29+\"$
\n" ); document.write( ":
\n" ); document.write( "Two solutions
\n" ); document.write( " $\"x+=+%28-12+%2B+10.198%29%2F%284%29+\"$
\n" ); document.write( " $\"x+=+-1.8%2F4+\"$
\n" ); document.write( "x = -.45
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28-12+-+10.198%29%2F%284%29+\"$
\n" ); document.write( " $\"x+=+-22.198%2F4\"$
\n" ); document.write( "x = -5.55
\n" ); document.write( ":
\n" ); document.write( "Learn this procedure by heart and you can do any quadratic equation that it's possible to solve. It would be time well spent. \n" ); document.write( "

\n" );