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How do you solve $\sqrt{t} - 4 = 7$ $sqrtt-4=7$ and check your solution?

1 Answer

Feb 16, 2017

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

Explanation:

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

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

Left Side $= \sqrt{121} - 4$ $=sqrt(color(red)(121))-4$
$XXXXX = 11 - 4$ $color(white)("XXXXX")=11-4$
$XXXXX = 7$ $color(white)("XXXXX")=7$
$XXXXXXXXXXXX =$ $color(white)("XXXXXXXXXXXX")=$ Right Side

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