document.write( "Question 1015213: (y+4) ^2/3=-2 \r
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document.write( "Where y is a real number and simplify! \r
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document.write( "Thank You! :)? \n" );
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Algebra.Com's Answer #631570 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Raise both sides to the third power\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Expand the squared binomial\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Put the quadratic in standard form\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "but the discriminant, \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the set of real number solutions to\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is the empty set.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This result squares with an intuitive analysis of the original problem. Whenever a fractional exponent has an even numerator, the result of raising to that power must be positive. Hence, the LHS of the original equation can never be negative, much less -2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it\r \n" ); document.write( "\n" ); document.write( " |