Question

If p+q=7 and pq=12 than find
${p}^{2} + {q}^{2}$

Answer 1

Answer:

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Answer 2

• p + q = 7

• pq = 12

______________ [ GIVEN ]

• We have to find the value of p² + q².

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We know that..

(a + b)² = a² + b² + 2ab

Use this identity to find the value of p² + q².

=> (p + q)² = p² + q² + 2pq

Put the known values above

=> (7)² = p² + q² + 2(12)

=> 49 = p² + q² + 24

=> 49 - 24 = p² + q²

=> 25 = p² + q²

=> p² + q² = 25

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p² + q² = 25

____________ [ ANSWER ]

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