Question

p²+q² if P-q=6 and P+9=14​

Answer 1

Answer:

196

Step-by-step explanation:

p+q =14

p squre + q squre == 14squre ==196

Answer 2

Step-by-step explanation:

p - q = 6 - - - - - - - (1)

p + 6 = 14 - - - - - - (2)

(2) => p = 14- 6

= 8

Now putting p =8 in (1) we get

8 - q = 6

=> q = 8-6

=> q = 2

$so \: \: {p}^{2} + {q}^{2} = (p + q) {}^{2} - 2pq$

$= > {p}^{2} + {q}^{2} = (8 + 2) {}^{2} - 2 \times 8 \times 2$

$= > {p}^{2} + {q}^{2} = {10}^{2} - 32$

$= > {p}^{2} + {q}^{2} =100 - 32$

$i.e \: \: {p}^{2} + {q}^{2} = 68$