Make t the subject formula K=M√t-p
To make t the subject of the formula, we need to isolate t on one side of the equation.
K = M√t - p
First, we need to move the constant term (-p) to the other side of the equation by adding p to both sides:
K + p = M√t
Next, we isolate the square root of t by squaring both sides of the equation:
(K + p)² = M²t
Simplifying:
K² + 2Kp + p² = M²t
Finally, we divide both sides of the equation by M²:
t = (K² + 2Kp + p²)/M²
To make t the subject of the formula K = M√(t-p), we will need to follow these steps:
Step 1: Start with the given equation: K = M√(t-p).
Step 2: Square both sides of the equation to eliminate the square root:
(K)^2 = (M√(t-p))^2.
Simplifying this gives us:
K^2 = M^2(t-p).
Step 3: Divide both sides of the equation by M^2 to isolate the term with (t-p):
K^2 / M^2 = (t-p).
Step 4: Now, add p to both sides of the equation to get t alone:
t = K^2 / M^2 + p.
Therefore, the equation has been rearranged with t as the subject: t = K^2 / M^2 + p.