document.write( "Question 487788: f(x)=1/2x^2+6x+7\r
\n" ); document.write( "\n" ); document.write( "I know that the vertex is (-6,-11)\r
\n" ); document.write( "\n" ); document.write( "I know that the graph opens up. \r
\n" ); document.write( "\n" ); document.write( "I know the equation of the axis of symmetry is -6.\r
\n" ); document.write( "\n" ); document.write( "What I need to figure out is what the x intercepts are.\r
\n" ); document.write( "\n" ); document.write( "It says to type the exact answer using radicals as needed. Simply as needed. Do not factor.\r
\n" ); document.write( "\n" ); document.write( "Geee I am so confused!
\n" ); document.write( "

Algebra.Com's Answer #333134 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
f(x)=1/2x^2+6x+7
\n" ); document.write( "I know that the vertex is (-6,-11)
\n" ); document.write( "I know that the graph opens up.
\n" ); document.write( "I know the equation of the axis of symmetry is -6.
\n" ); document.write( "What I need to figure out is what the x intercepts are.
\n" ); document.write( "It says to type the exact answer using radicals as needed. Simply as needed. Do not factor.
\n" ); document.write( "----------
\n" ); document.write( "x-intercepts:
\n" ); document.write( "Let y = 0, and solve for \"x\" using the Quadratic Formula:
\n" ); document.write( "1/2x^2+6x+7 = 0
\n" ); document.write( "a = (1/2) ; b = 6 ; c = 7
\n" ); document.write( "---
\n" ); document.write( "x = [-b +- sqrt(b^2-4ac)]/(2a)
\n" ); document.write( "----
\n" ); document.write( "x = [-6 +- sqrt(36 - 4*(1/2)*7)]/(1)
\n" ); document.write( "---
\n" ); document.write( "x = [-6 +- sqrt(12)]
\n" ); document.write( "---
\n" ); document.write( "x = -6+2sqrt(3) or x = -6-2sqrt(3)
\n" ); document.write( "=======================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );