How do you solve #sqrtt-4=7# and check your solution?

1 Answer
Feb 16, 2017

Answer:

#t=121#
(see below for method of solution and checking)

Explanation:

Given #sqrt(t)-4=7#
Add #4# to both sides to get
#color(white)("XXX")sqrt(t)=11#
Then square both sides:
#color(white)("XXX")t=121#

To check this solution:
Substitute #color(red)(121)# for #color(red)t# in
#color(white)("XXX")sqrt(color(red)(t))-4=7#

Left Side #=sqrt(color(red)(121))-4#
#color(white)("XXXXX")=11-4#
#color(white)("XXXXX")=7#
#color(white)("XXXXXXXXXXXX")=# Right Side