document.write( "Question 48578: apply the quadratic formula to find the roots of the given function, and then graph the function. \r
\n" ); document.write( "\n" ); document.write( " f(x) = x^2 + 4\r
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\n" ); document.write( "\n" ); document.write( " g(x) = x^2 + x + 12
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Algebra.Com's Answer #32176 by tutorcecilia(2152)\"\" \"About 
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f(x) = x^2 + 4
\n" ); document.write( "Let:
\n" ); document.write( "a=1
\n" ); document.write( "b=0
\n" ); document.write( "c=4
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\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" [Plug-in the values]
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\n" ); document.write( "\"x+=+%28-0+%2B-+sqrt%28+0%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29+\"
\n" ); document.write( "\"x+=+%28-0+%2B-+sqrt%28+-16%29+%29%29%2F%282%29%29+\" [Simplify]
\n" ); document.write( "\"x+=+%28-0+%2B-+4i%29%2F2+%29%29%29+\"[Cancel out]
\n" ); document.write( "x = +-2i [x = -2i or x = +2i] [Final answers]
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+200%2C+-5%2C+6%2C+-5%2C+10%2C+x%5E2+%2B+4%29+\" \r
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\n" ); document.write( "\n" ); document.write( "g(x) = x^2 + x + 12
\n" ); document.write( "Let:
\n" ); document.write( "a = 1
\n" ); document.write( "b = 1
\n" ); document.write( "c = 12
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\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
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\n" ); document.write( "\"x+=+%28-1+%2B-+sqrt%28+1%5E2-4%281%29%2812%29+%29%29%2F%282%281%29%29+\"
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\n" ); document.write( "\"x+=+%28-1+%2B-+sqrt%28+-47%29+%29%29%2F%282%29+\"
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\n" ); document.write( "\"x+=+%28-1%2F2+%2B-+%28+-47%2F2%29+%29%29+\"
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\n" ); document.write( "\"x+=+%28%28-1%2F2%29+%2B-+%2847i%2F2%29%29\"
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\n" ); document.write( "\"+graph%28+400%2C+400%2C+-13%2C+13%2C+-2%2C+25%2C+x%5E2+%2B+x+%2B+12+%29+\" \r
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