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

Question

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

2 Answers

Impact of this question

1984 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-20T20:29:09

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:

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

$t = 49$

Answer 2 · 2018-03-20T20:29:38

$t=49$

Explanation:

$"simplify the left side of the equation"$

$rArrsqrt t+2=9$

$"subtract 2 from both sides"$

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

$rArrsqrt t=7$

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

$color(blue)"square both sides"$

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

$rArrt=49$

Science

Math

Humanities

... and beyond

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

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question