1)Make Q the subject of the formula ;
a=√(PQ/P-Q)
First, square both sides of the equation to eliminate the square root:
a^2 = PQ / (P-Q)
Cross multiply to get rid of the fraction:
a^2(P-Q) = PQ
Expand the left side:
a^2P - a^2Q = PQ
Move all terms involving Q to one side of the equation and all other terms to the other side:
a^2P = PQ + a^2Q
Factor out Q on the right side:
a^2P = Q(P+a^2)
Divide both sides by (P+a^2):
Q = a^2P / (P+a^2)
Therefore, the formula with Q as the subject is:
Q = a^2P / (P+a^2)