Question
Download Solution PDFIf 2p + 5q = 12 and pq = 3, find the value of 4p2 + 25q2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
We have:
2p + 5q = 12 ........(1)
pq = 3 ........(2)
Squaring equation (1), we get:
\(4p^2 + 20pq + 25q^2 = 144\)
Substituting the value of pq from equation (2), we get:
\(4p^2 + 20(3) + 25q^2 = 144\)
Simplifying this equation:
\(4p^2 + 25q^2 = 84\)
Therefore, the value of \(4p^2 + 25q^2\) is 84.
Last updated on Jul 22, 2025
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