document.write( "Question 66668: Please help to solve\r
\n" );
document.write( "\n" );
document.write( "square root of x + 2 = the square root of x +12 \n" );
document.write( "
Algebra.Com's Answer #47481 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! square root of x + 2 = the square root of x +12 \n" ); document.write( ": \n" ); document.write( "The use of brackets would sure help here, to let us know just exactly what the problems is. \n" ); document.write( ": \n" ); document.write( "I am going to assume you mean: \n" ); document.write( "SqRt(x) + 2 = SqRt(x + 12) \n" ); document.write( ": \n" ); document.write( "[SqRt(x)+2]^2 = [SqRt(x+12)]^2; square both sides \n" ); document.write( ": \n" ); document.write( "FOIL [SqRt(x)+ 2] [SqRt(x)+ 2] and you have: \n" ); document.write( ": \n" ); document.write( "x + 4SqRt(x) + 4 = x + 12 \n" ); document.write( ": \n" ); document.write( "Get the radical on the left by itself: \n" ); document.write( "4*SqRt(x) = x + 12 - x - 4 \n" ); document.write( ": \n" ); document.write( "4*SqRt(x) = +8 \n" ); document.write( ": \n" ); document.write( "Square both sides again: \n" ); document.write( "16(x) = 64 \n" ); document.write( "x = 64/16 \n" ); document.write( "x = 4 \n" ); document.write( ": \n" ); document.write( "you can check this, substitute 4 x in the original equation: \n" ); document.write( "SqRt(4) + 2 = SqRt(4 + 12) \n" ); document.write( "2 + 2 = SqRt(16) \n" ); document.write( "; \n" ); document.write( "If this problem was different from what I assumed, email me and we will see what we can do with it. \n" ); document.write( " |