How do you solve #\frac { 1} { 3} ( x - 4) ^ { 2} = 11#?
1 Answer
Nov 19, 2016
Explanation:
Multiply both sides of the equation to eliminate the fraction.
#cancel(3)^1xx1/cancel(3)^1(x-4)^2=(3xx11)#
#rArr(x-4)^2=33# Take the
#color(blue)"square root of both sides"#
#sqrt((x-4)^2)=+-sqrt33#
#rArrx-4=+-sqrt33#
#rArrx=sqrt33+4" or " x=-sqrt33+4#
