document.write( "Question 205979: There are four problems I need help with. \r
\n" ); document.write( "\n" ); document.write( "Solve algebraically.\r
\n" ); document.write( "\n" ); document.write( "1. cuberoot(x)-5=3
\n" ); document.write( "2.x^3/2=27
\n" ); document.write( "3.3/4=1-3x-2/x+1\r
\n" ); document.write( "\n" ); document.write( "Sove algebraically and check your potential solutions.
\n" ); document.write( "4.square root of x+2-x=0
\n" ); document.write( "

Algebra.Com's Answer #155555 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve algebraically.
\n" ); document.write( "1. cuberoot(x)-5=3
\n" ); document.write( "cubrt(x) = 8
\n" ); document.write( "x = 8^3
\n" ); document.write( "x = 512
\n" ); document.write( "----------------------\r
\n" ); document.write( "\n" ); document.write( "2.x^(3/2)=27
\n" ); document.write( "Raise both sides to the (2/3) power to get:
\n" ); document.write( "x = 27^(2/3)
\n" ); document.write( "x = 3^2
\n" ); document.write( "x = 9
\n" ); document.write( "-----------------------\r
\n" ); document.write( "\n" ); document.write( "3.3/4=1-3x-2/x+1
\n" ); document.write( "Comment: Include parenthese so fractions can be distinguised.
\n" ); document.write( "---------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "Sove algebraically and check your potential solutions.
\n" ); document.write( "4.square root of x+2-x=0
\n" ); document.write( "sqrt(x+2) = x
\n" ); document.write( "x+2 = x^2
\n" ); document.write( "x^2-x-2 = 0
\n" ); document.write( "(x-2)(x+1) = 0
\n" ); document.write( "x = 2 or x = -1
\n" ); document.write( "---
\n" ); document.write( "Checking:
\n" ); document.write( "If x = 2 you get sqrt(0)=2
\n" ); document.write( "false so x=2 is not a solution
\n" ); document.write( "------------
\n" ); document.write( "If x = -1 you get sqrt(1) = -1
\n" ); document.write( "false so x = -1 is not a solution
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );