document.write( "Question 178341: solve algebraically and show your potential solutions √(x+2) -x=0 b.∛x -5=3 c.X3/2 = 27 \n" ); document.write( "

Algebra.Com's Answer #133357 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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√(x+2) -x=0 b.∛x -5=3 c.X3/2 = 27
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\n" ); document.write( " $\"sqrt%28x%2B2%29+-+x\"$ = 0
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\n" ); document.write( " $\"sqrt%28x%2B2%29\"$ = x
\n" ); document.write( "square both sides and you have
\n" ); document.write( "x + 2 = x^2
\n" ); document.write( "A quadratic equation:
\n" ); document.write( "x^2 - x - 2 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-2)(x+1) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = +2
\n" ); document.write( "x = -1
\n" ); document.write( "Check both solutions in original equation
\n" ); document.write( " $\"sqrt%282%2B2%29+-+2\"$ = 0
\n" ); document.write( "and
\n" ); document.write( " $\"sqrt%28-1%2B2%29+-+%28-1%29\"$ = 0
\n" ); document.write( " $\"sqrt%281%29+%2B+1\"$ does not = 0
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\n" ); document.write( "x = 2 is the only solution
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\n" ); document.write( "∛x - 5 = 3
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\n" ); document.write( "∛x = 3 + 5
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\n" ); document.write( "∛x = 8
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E%283%2F2%29\"$ = 27
\n" ); document.write( "find the cube root of both sides
\n" ); document.write( " $\"x%5E%281%2F2%29\"$ = 3
\n" ); document.write( "which is:
\n" ); document.write( " $\"sqrt%28x%29\"$ = 3
\n" ); document.write( "Square both sides
\n" ); document.write( "x = 9
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\n" ); document.write( "Check on a good calc:
\n" ); document.write( "enter 9^(3/2) = 27 \n" ); document.write( "

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