Question

3x²-2√6 x+2=0 Solve this quadratic equation by factorisation.

Answer 1

3x² - 2√6x + 2 = 0
3x² - √6x - √6x + 2 = 0
√3x(√3x - √2) - √2(√3x - √2) = 0
(√3x - √2)(√3x - √2) = 0
x = √2/√3 , x = √2/√3

Answer 2

✴✴$\color{red}{ \bf \underline{HEY \: FRIENDS!!}}$✴✴

$\color{yellow}{ \bf{-----------------------------------}}$

$\color{green}{ \underline{Here \: is \: your \: answer↓}}$⬇⏬⤵

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇

▶⏩$\color{blue}{ \boxed{FACTORISE:-)}}$

↪➡$\color{gold}{ \bf{3 {x}^{2} - 2 \sqrt{6}x + 2 = 0.}}$

↪➡$\color{orange}{ \bf{3 {x}^{2} - \sqrt{6}x - \sqrt{6}x + 2 = 0.}}$

↪➡$\color{orange}{ \bf{ \sqrt{3}x( \sqrt{3}x - \sqrt{2} ) - \sqrt{2} ( \sqrt{3}x - \sqrt{2} ) = 0.}}$

↪➡$\color{orange}{ \bf{( \sqrt{3}x - \sqrt{2}) \: ( \sqrt{3}x - \sqrt{2} ) = 0.}}$

↪➡$\color{orange}{ \bf{ \sqrt{3}x - \sqrt{2} = 0 \: | \: \sqrt{3}x - \sqrt{2} = 0.}}$

↪➡$\color{orange}{ \bf{x = \frac{ \sqrt{2} }{ \sqrt{3} } \: | \: x = \frac{ \sqrt{2} }{ \sqrt{3} } .}}$

✅✅$\color{blue}{ \boxed {Hence, it \: is \: factorised.}}$✔✔

✴✴$\color{green}{ \bf \boxed{THANKS}}$✴✴

☺☺☺$\color{red}{ \bf \underline{Hope \: it \: is \: helpful \: for \: you}}$✌✌✌.