Question

Solve (T-5)^2/3=2 where t is a real number

Answer 1

Answer:

$T=\sqrt{8}+5,\:T=-\sqrt{8}+5$ are two real values.

Step-by-step explanation:

Here the given equation is the quadratic equation, so we may have two real solutions.

Now the given expression is:

$(T-5)^{\frac{2}{3}}=2$

Now, to solve this, we will have to cube the terms at both sides of the equation, and thus we will get:

$\left(T-5\right)^2=8$

Now, we will get the solution as follows:

$T-5=\pm \sqrt{8}\\\Rightarrow T=\sqrt{8}+5,\:T=-\sqrt{8}+5$

are the required real solutions to the given equation.