Question

If p + q = 12 and pq = 22, then find p2 + q2.

Answer 1

p+q =12
Squaring on both sides
p sq +q sq +2pq=144
P sq +q sq + 44 = 144
P sq + q sq =144-44=100ans

Answer 2

Answer:

The value of $p^2+q^2$ is 100.

Step-by-step explanation:

Given information: p + q = 12 and pq = 22.

Using algebraic property:

$(p+q)^2=p^2+2pq+q^2$

$(12)^2=p^2+2(22)+q^2$

$144=p^2+44+q^2$

$144-44=p^2+q^2$

$100=p^2+q^2$

Therefore the value of $p^2+q^2$ is 100.