Question
If p = 25 - q - r and pq + r(p + q) = 256, then find the
value of (p² + q² + r²).Solution
We have, p = 25 - q - r
So, p + q + r = 25
And, pq + r(p + q) = 256
Or, pq + qr + pr = 256
Using, (p + q + r)² = p² + q² + r² + 2(pq + qr + pr)
25² = (p² + q² + r²) + 2 × 256
625 = (p² + q² + r²) + 512
p² + q² + r² = 113
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