document.write( "Question 697747: -5126= -6 -5(3x+22)^5/3 \n" ); document.write( "

Algebra.Com's Answer #431076 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
I believe the exponent is $\"%285%2F3%29\"$ , so I would write it as
\n" ); document.write( "-5126= -6 -5(3x+22)^(5/3) or $\"-5126=+-6+-5%283x%2B22%29%5E%285%2F3%29\"$
\n" ); document.write( "Since I cannot get those fractional exponents properly rendered, I'll try writing it as
\n" ); document.write( " $\"-5126=+-6+-5%283x%2B22%29\"$ ^(5/3)
\n" ); document.write( "We add 6 to both sides to get
\n" ); document.write( " $\"-5120=+-5%283x%2B22%29\"$ ^(5/3)
\n" ); document.write( "We multiply both sides times $\"%28-1%29\"$ because I do not like minus signs.
\n" ); document.write( "(It's an old grudge from when one minus sign michieviously turned into a plus sign as I transcribed apolynomial to the flip side on the second page of a very long multi-part problem in an 11th grade midterm).
\n" ); document.write( "Multiplying times $\"%28-1%29\"$ we get
\n" ); document.write( " $\"5120=+5%283x%2B22%29\"$ ^(5/3)
\n" ); document.write( "We divide both sides by 5 to get
\n" ); document.write( " $\"1024=+%283x%2B22%29\"$ ^(5/3)
\n" ); document.write( "You know that $\"1024=2%5E10\"$ , right?
\n" ); document.write( "Using that, we re-write the equation as
\n" ); document.write( " $\"2%5E10=+%283x%2B22%29\"$ ^(5/3)
\n" ); document.write( "We cube both sides of the equal sign to get
\n" ); document.write( " $\"%282%5E10%29%5E3=+%28%283x%2B22%29%5E%285%2F3%29%29%5E3\"$ --> $\"2%5E30=%283x%2B22%29%5E5\"$ --> $\"%282%5E6%29%5E5=%283x%2B22%29%5E5\"$ --> $\"2%5E6=3x%2B22\"$ --> $\"64=3x%2B22\"$
\n" ); document.write( "The rest is easy.
\n" ); document.write( " $\"64=3x%2B22\"$ --> $\"64-22=3x\"$ --> $\"42=3x\"$ --> $\"42%2F3=3x%2F3\"$ --> $\"highlight%28x=14%29\"$ \n" ); document.write( "

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