Question

$if p + q = 12and pq = 22 then find {p}^{2} + {q}^{2}$

Answer 1

Answer:

100

Step-by-step explanation:

since

$(p + q) {}^{2} = {p}^{2} + {q}^{2} + 2pq \\ (12) {}^{2} = {p}^{2} + {q}^{2} + 2(22) \\ 144 - 44 = {p}^{2} + {q}^{2} \\ p {}^{2} + {q}^{2} = 100$

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Answer 2

answer :

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

p^2+q^2+2pq =144

p^2+q^2 =144 -2(22) {value of pq =22}

p^2+q^2=144-44

p^2+q^2=100