Question

3 x \(\left(x-\dfrac{1}{4}\right)^2\) + \(\dfrac{3}{2}\) = \(\dfrac{33}{4}\)

 

Answer 1

`3 . (x-1/4)^2+3/2 = 33/4`

`=> 3 . (x-1/4)^2 = 33/4 - 3/2`

`=> 3 . (x-1/4)^2 = 27/4`

`=> (x-1/4)^2 = 27/4 : 3`

`=> (x-1/4)^2 = 9/4`

`=> (x-1/4)^2 = (+-3/2)^2`

`=> [(x - 1/4 = 3/2),(x-1/4 = -3/2):}`

`=> [(x = 7/4),(x=-5/4):}`

Vậy: `x=7/4; x=-5/4`