Question
If p = 50 - q - r and pq + r(q + p) = 816 then find the
value of (p2Â + q2Â + r2) .Solution
We have, p = 50 - q - r
So, p + q + r = 50
And, pq + r(q + p) = 816
Or, pq + qr + pr = 816
Using, (p + q + r)Â 2Â = p2Â + q2Â + r2Â + 2(pq + qr + pr)
So, 502Â = (p2Â + q2Â + r2) + 2 X 816
Or, p2Â + q2Â + r2Â = 2,500 - 1,632
So, p2Â + q2Â + r2Â = 868
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