document.write( "Question 359472: x^2+y^2=24
\n" ); document.write( "y=2x+3 \n" ); document.write( "

Algebra.Com's Answer #256562 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"x%5E2%2By%5E2=24\"$
\n" ); document.write( "2. $\"y=2x%2B3\"$
\n" ); document.write( "Substitute eq. 2 into eq. 1 and solve for $\"x\"$ .
\n" ); document.write( " $\"x%5E2%2B%282x%2B3%29%5E2=24\"$
\n" ); document.write( " $\"x%5E2%2B4x%5E2%2B12x%2B9=24\"$
\n" ); document.write( " $\"5x%5E2%2B12x%2B9=24\"$
\n" ); document.write( " $\"5x%5E2%2B12x-15=0\"$
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28+12%5E2-4%2A5%2A%28-15%29+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28+144%2B300+%29%29%2F10+\"$
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28+444+%29%29%2F10+\"$
\n" ); document.write( " $\"x+=+%28-12+%2B-+2%2Asqrt%28+111+%29%29%2F10+\"$
\n" ); document.write( " $\"x+=+%28-6+%2B-+sqrt%28+111+%29%29%2F5\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"y=2x%2B3\"$
\n" ); document.write( " $\"y=%28-12+%2B-+2%2Asqrt%28+111+%29%29%2F5%2B15%2F5\"$
\n" ); document.write( " $\"y=%283+%2B-+2%2Asqrt%28+111+%29%29%2F5\"$
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\n" ); document.write( "( $\"x%5B1%5D\"$ , $\"y%5B1%5D\"$ )= ( $\"+%28-6+%2B+sqrt%28+111+%29%29%2F5\"$ , $\"+%28-3+%2B+2%2Asqrt%28+111+%29%29%2F5\"$ )
\n" ); document.write( "( $\"x%5B2%5D\"$ , $\"y%5B2%5D\"$ )=( $\"+%28-6+-+sqrt%28+111+%29%29%2F5\"$ , $\"+%28-3+-+2%2Asqrt%28+111+%29%29%2F5\"$ )
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