Question

Find ($x^{2} + y^{2}$) if x + y = 12 and xy = 14

Answer 1

$\huge{\bold{\underline{\underline{Question:-}}}}$

Find ($x^{2} + y^{2}$) if x + y = 12 and xy = 14.

$\huge{\bold{\underline{\underline{Solution:-}}}}$

Given,x+y=12 and xy=14

x + y = 12

Squaring both sides, we get,

(x+y)² = 12²

=>x²+y²+2xy = 144

=>x²+y²+2(14) = 144

=>x²+y² = 144−28

=>x²+y² = 116