Question

Solve.

8/5=1200/5(t−5)^2

Answer 1

\[\frac{8}{5}=\frac{1200}{5 (t-5)^2} ?\]

Answer 2

10+2\[10+2\sqrt{6} or 10 - 2\sqrt{6}\]

Answer 3

Bring the denominator over. so you have

now you're just left with
8(t-5)^2 = 1200 because the the two 5's cancel each other out.
From here
divide both sides by 8
so you now have
(t - 5)^2 = (1200/8)
(t-5)^2 = 150
take the square root of both sides
t-5 = sqrt(150)
add 5 to both sides.
t = sqrt(150) + 5 which is roughly 17.24