Question

Tìm x biết:

(1/5-3/2*x)^2=9/4

Bằng 2 Trường hợp

Answer 1

Tìm x biết:

(1/5-3/2*x)^2=9/4

( \(\dfrac{1}{5}-\dfrac{3}{2}\cdot x\)) \(^2\)= \(\sqrt{\dfrac{9}{4}}\)

( \(\dfrac{1}{5}-\dfrac{3}{2}\cdot x\)) = \(\dfrac{3}{2}\)

(\(\dfrac{1}{5}-\dfrac{3}{2}\cdot x\)) = \(\pm\dfrac{3}{2}\)

TH 1 :

(\(\dfrac{1}{5}-\dfrac{3}{2}\cdot x\)) = \(\dfrac{3}{2}\)

\(\dfrac{3}{2}\cdot x=\dfrac{1}{5}-\dfrac{3}{2}\)

\(\dfrac{3}{2}\cdot x=\dfrac{-13}{10}\)

x = \(\dfrac{-13}{10}:\dfrac{3}{2}\)

x = \(\dfrac{-12}{15}\)

Answer 2

TH 2:

(\(\dfrac{1}{5}-\dfrac{3}{2}\cdot x\)) = - \(\dfrac{3}{2}\)

\(\dfrac{3}{2}\cdot x=\dfrac{1}{5}+\dfrac{3}{2}\)

\(\dfrac{3}{2}\cdot x=\dfrac{17}{10}\)

x = \(\dfrac{17}{10}:\dfrac{3}{2}\)

x = \(\dfrac{17}{15}\)