Question

6x²-x= 2 solve by complete square method​

Answer 1

Answer:

$\frac{2}{3}$, -$\frac{1}{2}$

Step-by-step explanation:

6x² - x = 2

Dividing both sides by 6, we get

or, x² - $\frac{x}{6}$ = $\frac{1}{3}$

or, x² - 2 × x × $\frac{1}{2 × 6}$ + ($\frac{1}{12}$)² - ($\frac{1}{12}$)² = $\frac{1}{3}$

or, (x -  $\frac{1}{12}$)² = $\frac{1}{3}$ + $\frac{1}{144}$

or, (x -  $\frac{1}{12}$)² = $\frac{49}{144}$

or, (x -  $\frac{1}{12}$)² = ($\frac{7}{12}$)²

or, x -  $\frac{1}{12}$ = ±$\frac{7}{12}$

or, x =  ±$\frac{7}{12}$ + $\frac{1}{12}$

or, x = +$\frac{7}{12}$ + $\frac{1}{12}$ , -$\frac{7}{12}$ + $\frac{1}{12}$

or, x = $\frac{8}{12}$, -$\frac{6}{12}$

or, x = $\frac{2}{3}$, -$\frac{1}{2}$