Question

If p + q + r = 16 and pq + qr + rp = 25. Find the value of p² + q² + r².​

Answer 1

Heya mate pls use the formula ..

(p+q+r)²=p²+q²+r²+2pq+2qr+2pr

Here given,

p+q+r= 16

pq+rq+rp= 25

to find :- p²+q²+r²

Solution:-

putting values in the formula..we get:-

(16)²=p²+q²+r²+2(pq+qr+rp)

256= p²+q²+r²+2(25)

p²+q²+r²= 256-50

= 206

Hence the required answer is 206