Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)
Question 1 Report
Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)
Answer Details
To make q the subject of the formula in the equation mna2−pqb2=1, we need to isolate q on one side of the equation by performing algebraic operations.
First, we can move the mna2 term to the other side of the equation by adding pqb2 to both sides, which gives:
mna2 = 1 + pqb2
Next, we can isolate q by dividing both sides by b2 and subtracting mna2/a2 from both sides, which gives:
q = (1/b2) - (mna2/a2b2)
Simplifying further:
q = b2(mn - a2)/(a2p)
Therefore, the option that correctly expresses q as a subject of the formula is:
q = b2(mn - a2)/(a2p)
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