document.write( "Question 138711: f(x)16x^2+40x+25
\n" ); document.write( "what is the y-intercept and what is the x-intercept \n" ); document.write( "

Algebra.Com's Answer #101216 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The y-intercept occurs where $\"x=0\"$
\n" ); document.write( " $\"f%28x%29+=+16x%5E2+%2B+40x+%2B+25\"$
\n" ); document.write( "Make $\"x=0\"$
\n" ); document.write( " $\"f%280%29+=+25\"$
\n" ); document.write( "(0,25) is the y-intercept
\n" ); document.write( "The x-intercept occurs where $\"y=0\"$
\n" ); document.write( " $\"16x%5E2+%2B+40x+%2B+25+=+0\"$
\n" ); document.write( "divide both sides by $\"16\"$
\n" ); document.write( " $\"x%5E2+%2B+%285%2F2%29x+%2B+%285%2F4%29%5E2+=+0\"$
\n" ); document.write( "The left side is a perfect square
\n" ); document.write( " $\"%28x+%2B+%285%2F4%29%29%5E2+=+0\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"%2B%28x+%2B+%285%2F4%29%29+=+0\"$
\n" ); document.write( " $\"x+=+-%285%2F4%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"-%28x+%2B+%285%2F4%29%29+=+0\"$
\n" ); document.write( " $\"x+=+-%285%2F4%29\"$
\n" ); document.write( "So, the x-intercept is (-5/4,0)
\n" ); document.write( " \n" ); document.write( "

\n" );