document.write( "Question 752526: Find the -xintercept(s) and the coordinates of the vertex for the parabola x^2 - 2x - 24=y . If there is more than one -intercept, separate them with commas. \n" ); document.write( "

Algebra.Com's Answer #457802 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( " $\"+x%5E2+-+2x+-+24=y+\"$ \r
\n" ); document.write( "\n" ); document.write( "vertex form:\r
\n" ); document.write( "\n" ); document.write( " $\"+x%5E2+-+2x+-24=y\"$ .....complete square on left side\r
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\n" ); document.write( "\n" ); document.write( " $\"+%28x%5E2+-2x%2B__%29-24+=y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x%5E2+-2x%2B1%29+-1-24=y+%2B24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x+-1%29%5E2-25+=y+\"$ \r
\n" ); document.write( "\n" ); document.write( "vertex: $\"h=1\"$ and $\"k=-25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-intercepts\"$ : set $\"y=0\"$ and solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x+-1%29%5E2-25+=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x+-1%29%5E2+=25+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+sqrt%28%28x+-1%29%5E2%29+=sqrt%2825%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x+-1+=5+\"$ or $\"+x+-1+=-5+\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+x+-1+=5+\"$ => $\"+x+=6+\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+x+-1+=-5+\"$ => $\"+x+=-4+\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, $\"x-intercepts\"$ are at ( $\"6\"$ , $\"0\"$ ) and ( $\"-4\"$ , $\"0\"$ )\r
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