# 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#