Question

4 If p+q = 12 and pq = 22, then find p2+q2
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Answer 1

Answer:

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

12^2=p^2+q^2+44

p^2+q^2=100

Answer 2

⭐$\huge{\underline{\underline{\mathfrak{Answer}}}}$ ⭐

➡ By using the identity :-

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

➡ By putting the values :-

Step-by-step explanation:

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

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