Question

Tìm x

A, | x - 3/2 | = (12/13 + 7 ) + ( - 8 + 1/13 )

B, ( 3/4 - 1/5 - 1/6 ) × 1/30 - | 3 × x - 3 | = 2

C, 2147/452 < x3/4 < 2835/420 ( x là phần nguyên của hỗn số )

Answer 1

Tìm x

a) | x - \(\dfrac{3}{2}\) | = \(\left(\dfrac{12}{13}+7\right)\) + \(\left(-8+\dfrac{1}{13}\right)\)

| x - \(\dfrac{3}{2}\) | = \(\dfrac{12}{13}+7-8+\dfrac{1}{13}\)

| x - \(\dfrac{3}{2}\) | = 1 + 7 - 8

=> | x - \(\dfrac{3}{2}\) | = 0

=> x - \(\dfrac{3}{2}\) = 0

=> x = \(\dfrac{3}{2}\)

Answer 2

b) ( \(\dfrac{3}{4}-\dfrac{1}{5}-\dfrac{1}{6}\) ) . \(\dfrac{1}{30}\) - | 3 . x - 3 | = 2

=> \(\dfrac{27}{4}\) . \(\dfrac{1}{30}\) - | 3x - 3 | = 2

=> \(\dfrac{9}{40}\) - | 3x - 3 | = 2

=> | 3x - 3 | = \(\dfrac{9}{40}\) - 2

=> | 3x - 3 | = \(\dfrac{-71}{40}\)

Th1 :

3x - 3 = \(\dfrac{-71}{40}\)

=> 3x = \(\dfrac{-71}{40}\) + 3

=> 3x = \(\dfrac{49}{40}\)

=> x = \(\dfrac{49}{40}\) : 3

=> x = \(\dfrac{49}{120}\)

TH2 :

3x - 3 = \(\dfrac{71}{40}\)

=> 3x = \(\dfrac{191}{40}\)

=> x = \(\dfrac{191}{120}\)

Vậy x = \(\dfrac{49}{120}\) hoặc \(\dfrac{191}{120}\)