document.write( "Question 245847: How do a use the quadratic formula to solve this partial equation..\r
\n" ); document.write( "\n" ); document.write( "(4x+1)^2 = 3x+4 \n" ); document.write( "

Algebra.Com's Answer #179509 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%284x%2B1%29%5E2+=+3x%2B4\"$
\n" ); document.write( "To use the quadratic formula, $\"x+=+%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F2a\"$ , your equation needs to be in $\"ax%5E2+%2B+bx+%2B+c+=+0\"$ form. So getting the equation into the proper form is where we start.
\n" ); document.write( "Multiply out the left side:
\n" ); document.write( " $\"16x%5E2+%2B+8x+%2B+1+=+3x+%2B+4\"$
\n" ); document.write( "Make the right side zero by subtracting 3x and 4 from each side:
\n" ); document.write( " $\"16x%5E2+%2B+5x+-+3+=+0\"$
\n" ); document.write( "Now we have the proper form and we can use the quadratic formula with \"a\" = 16, \"b\" = 5 and \"c\" = -3:
\n" ); document.write( " $\"x+=+%28-%285%29+%2B-+sqrt%28%285%29%5E2+-+4%2816%29%28-3%29%29%29%2F2%2816%29\"$
\n" ); document.write( "Now we simplify:
\n" ); document.write( " $\"x+=+%28-%285%29+%2B-+sqrt%2825+-+4%2816%29%28-3%29%29%29%2F2%2816%29\"$
\n" ); document.write( " $\"x+=+%28-5+%2B-+sqrt%2825+%2B+192%29%29%2F32\"$
\n" ); document.write( " $\"x+=+%28-5+%2B-+sqrt%28217%29%29%2F32\"$
\n" ); document.write( "So
\n" ); document.write( " $\"x+=+%28-5+%2B+sqrt%28217%29%29%2F32\"$ or $\"x+=+%28-5+-+sqrt%28217%29%29%2F32\"$ \n" ); document.write( "

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