document.write( "Question 306779: how doo i Solve the equation by graphing x2 - 5x - 24 = 0 \n" ); document.write( "

Algebra.Com's Answer #219472 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can factor to find the zeros.
\n" ); document.write( " $\"x%5E2+-+5x+-+24+=+0\"$
\n" ); document.write( " $\"%28x-8%29%28x%2B3%29=0\"$
\n" ); document.write( "Zeros at x=-3 and x=8.
\n" ); document.write( "The vertex is then at $\"x=%288-3%29%2F2=5%2F2\"$ .
\n" ); document.write( "We can switch to vertex mode by completing the square.
\n" ); document.write( " $\"%28x%5E2-5x%2B25%2F4%29-24-25%2F4=0\"$
\n" ); document.write( " $\"%28x-5%2F2%29%5E2-96%2F4-25%2F4=0\"$
\n" ); document.write( " $\"%28x-5%2F2%29%5E2-121%2F4=0\"$
\n" ); document.write( "So the vertex is (5/2,-121/4).
\n" ); document.write( "Now you can hand sketch the parabola with all of these points.
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