Question

If p+q=12, what is the smallest value of p^2+q^2?

Answer 1

p+q=12

squaring on both sides

(p+q)=12^2

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

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

Answer 2

Answer:

$\huge\bold\red{\underline{\underline{\mathcal{Given:}}}}$

P + q = 12

PQ = 22

$\huge\bold\</strong><strong>pink</strong><strong>{\underline{\underline{\mathcal{</strong><strong>To</strong><strong>\</strong><strong>:</strong><strong>find</strong><strong>:}}}}$

P² + q²

$\huge\bold\blue{\underline{\underline{\mathcal{Solution:}}}}$

(a + b)² = (a + b) (a + b)

(p + q)² = (p + q) (p + q)

= (12) (12)

= 144

P² + q² + 22 = 144/2

P² + q² =72 - 22

$\huge\bold{\boxed{\boxed{p²\:+\:q²\:=\:50}}}$

SORRY TO INFORM THAT THE QUESTION IS NOT COMPLETE.

THE VALUE OF PQ = 22

HOPE YOU CORRECT IT.

#BRAINLY STARS TEAM MEMBER - IRSHAD