Question

Solve for X
All of them...
Please send ans in pic not in text format....

Answer 1

Answer:

1st - 2√6/6 and 2√6/6

2nd - +- √7/4

Answer 2

1

$3 {x}^{2} + 2 \sqrt{6} x +2 = 0 \\ {( \sqrt{3} x + \sqrt{2} })^{2} = 0 \\ x = - \frac{ \sqrt{2} }{ \sqrt{3} }$

2.

$2 {x}^{2} - x + \frac{1}{8} = 0 \\ 4 {x}^{2} - 2x + \frac{1}{4} = 0 \\ {(2x + \frac{1}{2} })^{2} = 0 \\ x = - \frac{1}{4}$

3

$\frac{x}{7} - \frac{1}{x - 2} = 3 \\ {x}^{2} - 9x = 21x - 42 \\ {x}^{2} - 30x + 42 = 0 \\ {x}^{2} - 30x + 225 - 182 = 0 \\ {(x - 15)}^{2} - 182 = 0 \\ (x - 15 + \sqrt{182} )(x - 15 - \sqrt{182} ) = 0 \\ x = 15 - \sqrt{182} \\ and \\ x = 15 + \sqrt{182}$