Question

x square +2 root 2 x - 6 = 0 solve by factorisatiin​

Answer 1

Given :-

${x}^{2} + 2 \sqrt{2} x \: - 6 = 0$

To find :- " x " .

Solution :-

By Factorisation ,

${x}^{2} + 2 \sqrt{2} x \: - 6 = 0$

${x}^{2} + 3 \sqrt{2} x \: - \sqrt{2} \: x \: - 6 = 0$

$x \: (x + 3 \sqrt{2} ) - \sqrt{2} (x \: + 3 \sqrt{2} ) \: = 0$

$(x - \sqrt{2} )(x + 3 \sqrt{2} ) = 0$

$either \: x - \sqrt{2} = 0 \: \: or \: x + 3 \sqrt{2} = 0$

$therefore \: \: \: x \: = \sqrt{2} \: \: \: and - 3 \sqrt{2}$

X = √2 , -3√2.