How do you solve this equation and what is it called?

Question

square root of (x+1) = square root of (x+6) -1

thanks!

Answer 1

(i don't know what it is called, but...)

square both sides of the equation, and go from there...

( SQRT(x+1) ) ^ 2 = ( ( SQRT(x+6) ) - 1) ^ 2

the right side will be a little tricky (pay attention to the parentheses above) since you have to use the polynomial sqaring rules (hint)

the left side is easy:

(x+1)  = ( ( SQRT(x+6) ) - 1)  *  ( ( SQRT(x+6) ) - 1)

there is one caveat, though:

make sure to check your answers in the original equation!