SOLUTION: I want to see the steps in solving the following equation for the unknown T: (C*T)/2 = sqrt(L^2 + ((V*T)/2)^2) sqrt=square root It has been presented as a "simple" process

SOLUTION: I want to see the steps in solving the following equation for the unknown T: (CT)/2 = sqrt(L^2 + ((VT)/2)^2) sqrt=square root It has been presented as a "simple" process

Question 845803: I want to see the steps in solving the following equation for the unknown T:
(C*T)/2 = sqrt(L^2 + ((V*T)/2)^2)
sqrt=square root
It has been presented as a "simple" process, however, it has been 50 years since I had Algebra and for the life of me I cannot see how to solve for T.
Thanks you.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Raise both members to the 2 power ( meaning square both sides).

Add the additive inverse of to both sides.

Steps beyond here can vary but should be mostly consistent with this:

Apply rule of exponents for the left member.
; notice the two terms of T^2 in the left member.

Combine like-terms, or think of it as the reverse of the Distributive Property.

Simplify the rational expression factor.

Multiply both members by multiplicative inverse of the rational expression
(Being shown more fully):

Raise both members to the power.

.
and to be strictly correct... OR .
Both of them are solved for T.

A few minor steps may have been omitted, because they might seem as too obvious and unnecessary to be shown, but these as shown should be clear enough for your understanding.
-
Note also, some people may not want an irrational expression in the denominator and so would want to rationalize the denominator.
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