Question

Find the value of p^2 + q^2 if p + q = 3 and pq = 2

Answer 1

Answer:

p² + q² = (p +q)² - 2 pq

= (3)² - 2 X 2

= 9 - 4

= 5

Answer 2

$\huge\tt\underline\red{Ans}\underline {w}\underline\purple{er}\underline{:}\orange {\downarrow \downarrow }$

p² + q²= 5 Ans

$\huge \underbrace \mathfrak \red{\bigstar Explanation}$

${ \bold { \underline{\large{\purple{\bigstar Formula \: to \: be \: used : - }}}}} \:$

$\tt \huge{ a² + b² = (a+b)²- 2ab }$

${ \bold { \underline{\large{\purple{\bigstar Given : - }}}}} \:$

$\tt{p + q = 3 \: and\: pq = 2}$

${ \bold { \underline{\large{\purple{\bigstar Solution : - }}}}} \:$

$:⟹ p² + q² = (p+q)²- 2pq$

$:⟹ \:\:\:\:\:\:\:\:\:\:\: = (3)²- 2×2$

$:⟹ \:\:\:\:\:\:\:\:\:\:\: = 9 - 4$

$:⟹ \:\:\:\:\:\:\:\:\:\:\: = 5 \: Ans$

Kindly, Brainlist