Question

find the value of p square + 2 square if the P - 2 equals to 6 and P + Q is equals to 14​

Answer 1

Answer:

the value of p square + 2 square = 68

Step-by-step explanation:

P - 2 = 6

so, P = 6+2

so, P = 8

so p square plus 2 square

= 8 square + 2 square

= 64 + 4

= 68

Answer 2

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p – q = 6 and p + q = 14 ....(i)

Consider,

(p + q)²= (p - q)² + 4pq

142 = 62 + 4pq

196 = 36 + 4pq

4pq = 160

pq = 40 ....(ii)

(p + q)²= p²+ q² + 2pq

142 = p²+ q²+ 2 × 40 from (i) and (ii)

p² + q² = 196 - 80 = 116

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