document.write( "Question 1128874: Given that𝑓 (𝑥) =1/4𝑥^2 and𝑔 (𝑥) =−1+1/3𝑥, find all 𝑥 for which𝑓 (𝑥) =𝑔 (𝑥) .State any non-real solutions in the form 𝑎 ą 𝑏𝑖. \n" ); document.write( "

Algebra.Com's Answer #745420 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%281%2F4%29x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"g%28x%29=-1%2B%281%2F3%29x\"$ \r
\n" ); document.write( "\n" ); document.write( "find: $\"f%28x%29=g%28x%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2F4%29x%5E2=-1%2B%281%2F3%29x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2F4%29x%5E2%2B1-%281%2F3%29x=0\"$ ....each term multiply by $\"12\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"12%281%2F4%29x%5E2%2B1%2A12-12%281%2F3%29x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"cross%2812%293%281%2Fcross%284%29%29x%5E2-cross%2812%294%281%2Fcross%283%29%29x%2B12=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-4x%2B12=0\"$ ...use quadratic formula\r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ ..in your case, $\"a=3\"$ , $\"b=-4\"$ , and $\"c=12\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A12+%29%29%2F%282%2A3%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%28+16-144+%29%29%2F6+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%28+-128+%29%29%2F6+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%28+-1%2A2%2A64+%29%29%2F6+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%284+%2B-+8sqrt%282%29%2Ai%29%2F6+\"$ ...simplify\r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%282+%2B-+4sqrt%282%29%2Ai%29%2F3+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%282%2F3+%2B-+4sqrt%282%29%2Ai%2F3%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%282+%2B+4sqrt%282%29%2Ai%29%2F3+\"$ => $\"x+=+2%2F3+%2B+4sqrt%282%29%2Ai%2F3+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%282+-+4sqrt%282%29%2Ai%29%2F3+\"$ => $\"x+=+2%2F3-+4sqrt%282%29%2Ai%2F3+\"$ \r
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