Question

if X + y = 10 and xy = 3 , then x^2 + y^2​

Answer 1

$\huge \bf \underline{ \underline{Question}}$

if x + y = 10 and xy = 3 , then x^2 + y^2

$\huge \bf \underline{ \underline{Answer}}$

$= {x}^{2} + {y}^{2} \\ = {(x + y)}^{2} - 2xy$

(using identity a²+b² = (a+b)² - 2ab)

Putting the values,

$= {(10)}^{2} - 2(3) \\ = 100 - 6 \\ = 94$

$\mathtt{Therefore, x^2 + y^2 = 94}$

Answer 2

Answer:

This is the required answer.