If #sqrt(x-1)=2#, what is #(x - 1)^2# ?
2 Answers
Apr 22, 2018
Explanation:
Square both sides:
This causes the radical to cancel out:
Square both sides, again:
Apr 22, 2018
Explanation:
#color(blue)"square both sides"#
#"note that "sqrtaxxsqrta=(sqrta)^2=a#
#rArr(sqrt(x-1))^2=2^2#
#rArrx-1=4#
#color(blue)"square both sides"#
#(x-1)^2=4^2#
#rArr(x-1)^2=16#