Answer:
l = t/4v² - 1
Step-by-step explanation:
Given the expression
v = √l+t/2√l
We are to make l the subject of the formula as shown;
Cross multiply
2v√l = √l+t
Square both sides
(2v√l)² = (√l+t)²
4v²l = l+t
t = 4v²l - l
t = l(4v² - 1)
Divide both sides by 4v² - 1
t/4v² - 1 = l(4v² - 1)/4v² - 1
t/4v² - 1 = l
Swap
l = t/4v² - 1
Hence the required expression for l is t/4v² - 1
