document.write( "Question 371787: Find the minimum value of g(x)=5x^2+17x-3 \n" ); document.write( "

Algebra.Com's Answer #264818 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
g(x)=5x^2+17x-3
\n" ); document.write( ".
\n" ); document.write( "Because it is in the form of
\n" ); document.write( "Ax^2 + Bx + C
\n" ); document.write( "it is a \"quadratic\" -- a parabola
\n" ); document.write( "By looking at the coefficient associated with the x^2 term we can tell whether it opens upwards (positive coefficient) or downwards (negative coefficient). It is positive so it opens upwards.
\n" ); document.write( ".
\n" ); document.write( "Finding the vertex give you the minimum.
\n" ); document.write( "it is minimum when
\n" ); document.write( "x = -b/(2a) = -17/(2*5) = -17/10 = -1.7
\n" ); document.write( ".
\n" ); document.write( "Plug it back into the original equation to find the minimum:
\n" ); document.write( "g(x)=5x^2+17x-3
\n" ); document.write( "g(-1.7)=5(-1.7)^2+17(-1.7)-3
\n" ); document.write( "g(-1.7)= -17.45
\n" ); document.write( " \n" ); document.write( "

\n" );