Algebra.Com's Answer #81254 by jim_thompson5910(35256)  You can put this solution on YOUR website! #1\r \n" );
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document.write( " Start with the given equation\r \n" );
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document.write( " Divide both sides by 9\r \n" );
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document.write( " Take the square root of both sides\r \n" );
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document.write( " Simplify the square root (note: If you need help with simplifying the square root, check out this solver)\r \n" );
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document.write( " Add 8 to both sides to isolate x.\r \n" );
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document.write( " Break down the expression into two parts:\r \n" );
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document.write( " or \r\n" );
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document.write( " Now combine like terms for each expression:\r \n" );
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document.write( " or \r \n" );
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document.write( "Answer:\r \n" );
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document.write( "So our solution is\r \n" );
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document.write( " or \r\n" );
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document.write( " Notice when we graph the equations and we get:\r \n" );
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document.write( " graph of (red) and (green)\r \n" );
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document.write( "Here we can see that the two equations intersect at x values of and , so this verifies our answer.\r \n" );
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document.write( "#2\r \n" );
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document.write( " Solved by pluggable solver: Quadratic Formula | \n" );
document.write( "Let's use the quadratic formula to solve for x:
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document.write( " Starting with the general quadratic \n" );
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document.write( " the general solution using the quadratic equation is: \n" );
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document.write( "  \n" );
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document.write( " So lets solve (note: since the polynomial does not have an \"x\" term, the 2nd coefficient is zero. In other words, b=0. So that means the polynomial really looks like notice , , and ) \n" );
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document.write( " Plug in a=27, b=0, and c=-49 \n" );
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document.write( " Square 0 to get 0 \n" );
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document.write( " Multiply to get  \n" );
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document.write( " Combine like terms in the radicand (everything under the square root) \n" );
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document.write( " Simplify the square root (note: If you need help with simplifying the square root, check out this solver) \n" );
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document.write( " Multiply 2 and 27 to get 54 \n" );
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document.write( " So now the expression breaks down into two parts \n" );
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document.write( " or  \n" );
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document.write( " Now break up the fraction \n" );
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document.write( " or  \n" );
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document.write( " Simplify \n" );
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document.write( " or  \n" );
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document.write( " So the solutions are: \n" );
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document.write( " or  \n" );
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document.write( "#3\r \n" );
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document.write( " Start with the given equation\r \n" );
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document.write( " Add to both sides\r \n" );
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document.write( " Factor the left side (note: if you need help with factoring, check out this solver)\r \n" );
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document.write( "Now set each factor equal to zero:\r \n" );
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document.write( " or \r \n" );
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document.write( " or Now solve for x in each case\r \n" );
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document.write( "So our solutions are or \r \n" );
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document.write( "Notice if we graph we get\r \n" );
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document.write( "and we can see that the graph has roots at or , so this verifies our answer.\r \n" );
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document.write( "#4\r \n" );
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document.write( " Start with the given expression\r \n" );
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document.write( " Factor out the GCF \r \n" );
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document.write( " Factor the inner expression \r \n" );
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document.write( "Now set each factor equal to zero:\r \n" );
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document.write( " , or \r \n" );
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document.write( " , , or Now solve for x in each case\r \n" );
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document.write( "Notice we get the solution twice\r \n" );
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document.write( "So our solutions are or \r \n" );
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document.write( "Notice if we graph we get\r \n" );
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document.write( "and we can see that the graph has roots at and so this verifies our answer.\r \n" );
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document.write( "#5\r \n" );
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document.write( " Solved by pluggable solver: Quadratic Formula | \n" );
document.write( "Let's use the quadratic formula to solve for x:
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document.write( " Starting with the general quadratic \n" );
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document.write( "  \n" );
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document.write( " the general solution using the quadratic equation is: \n" );
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document.write( "  \n" );
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document.write( " So lets solve (note: since the polynomial does not have an \"x\" term, the 2nd coefficient is zero. In other words, b=0. So that means the polynomial really looks like notice , , and ) \n" );
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document.write( " Plug in a=1, b=0, and c=69 \n" );
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document.write( " Square 0 to get 0 \n" );
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document.write( " Multiply to get  \n" );
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document.write( " Combine like terms in the radicand (everything under the square root) \n" );
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document.write( " Simplify the square root (note: If you need help with simplifying the square root, check out this solver) \n" );
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document.write( " Multiply 2 and 1 to get 2 \n" );
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document.write( " After simplifying, the quadratic has roots of \n" );
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document.write( " or  \n" );
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