How do you solve sqrt (t) - 1 + 3 = 9?

2 Answers
Mar 20, 2018

Answer:

See a solution process below:

Explanation:

First, combine the constants on the left side of the equation:

#sqrt(t) + (-1 + 3) = 9#

#sqrt(t) + 2 = 9#

Next, subtract #color(red)(2)# from each side of the equation to isolate the radical while keeping the equation balanced:

#sqrt(t) + 2 - color(red)(2) = 9 - color(red)(2)#

#sqrt(t) + 0 = 7#

#sqrt(t) = 7#

Now, square both sides of the equation to solve for #t# while keeping the equation balanced:

#(sqrt(t)) = 7^2#

#t = 49#

Mar 20, 2018

Answer:

#t=49#

Explanation:

#"simplify the left side of the equation"#

#rArrsqrt t+2=9#

#"subtract 2 from both sides"#

#sqrt tcancel(+2)cancel(-2)=9-2#

#rArrsqrt t=7#

#["note that "sqrtaxxsqrta=(sqrta)^2=a]#

#color(blue)"square both sides"#

#(sqrt t)^2=7^2#

#rArrt=49#