document.write( "Question 1196478: How do you know that the equation has no real roots?\r
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Algebra.Com's Answer #829319 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Left side expression is the sum of four addends.\r\n" );
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document.write( "Three of these addends are monomials of even degree of variable x \r\n" );
document.write( "with positive coefficients - so these addends are non-negative at any real value \r\n" );
document.write( "of the variable x.\r\n" );
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document.write( "The fourth addend is positive constant \"6\".\r\n" );
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document.write( "The sum of three non-negative values and fourth positive value can not be equal to zero - \r\n" );
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document.write( "THEREFORE, left side of the equation can not be zero at any value of x.\r\n" );
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document.write( "So, the equation has no real solutions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point, the proof is complete.\r
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