document.write( "Question 483457: i need to solve this inequality and i don't know how to solve it : x^4-5x^3-25x^2+65x+84(greater than or equal to)0 \n" ); document.write( "

Algebra.Com's Answer #330847 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
Alternate forms:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E4-5x%5E3-25x%5E2%2B65x%2B84%3E=0\"$ ...replace $\"-5x%5E3\"$ with $\"5x%5E3-10x%5E3\"$ , $\"-25x%5E2\"$ with $\"4x%5E2+%2B21x%5E2-50x%5E2\"$ , and $\"65x\"$ with $\"-40x%2B105x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E4%2B5x%5E3-10x%5E3%2B4x%5E2+%2B21x%5E2-50x%5E2-40x%2B105x%2B84%3E=0\"$ ...rearrange the terms\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%28x%5E2%2B5x%2B4%29+-10x%28x%5E2%2B5x%2B4%29+%2B21%28x%5E2%2B5x%2B4%29%3E=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+-10x+%2B21%29%28x%5E2%2B5x%2B4%29%3E=0\"$ ...replace $\"-10x+\"$ with $\"-7x-3x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+-7x-3x+%2B21%29%28x%5E2%2B5x%2B4%29%3E=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28%28x%5E2+-7x%29-%283x+-21%29%29%28x%5E2%2B5x%2B4%29%3E=0\"$ replace $\"5x+\"$ with $\"x%2B4x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%28x+-7%29-3%28x+-7%29%29%28x%5E2%2Bx%2B4x%2B4%29%3E=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-3%29%28x+-7%29%28%28x%5E2%2Bx%29%2B%284x%2B4%29%29%3E=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-3%29%28x+-7%29%28x%28x%2B1%29%2B4%28x%2B1%29%29%3E=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-3%29%28x+-7%29%28x%2B4%29%28x%2B1%29%3E=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "Solutions:
\n" ); document.write( "x>=7
\n" ); document.write( "-1<=x<=3
\n" ); document.write( "x<=-4\r
\n" ); document.write( "\n" ); document.write( "Integer solutions:
\n" ); document.write( "x = ą1
\n" ); document.write( "x = 0
\n" ); document.write( "x = 2
\n" ); document.write( "x = 3\r
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