Question

( 5/4x -2/3)^4 - 3/2 =57/16

giúp tớ với làm ơn ai nhanh mk tặng cho 3 tk nhé

Answer 1

( 5/4x - 2/3 )^4 = 57/16 + 3/2

=> ( 5/4x - 2/3 )^4 = 81/16

=> ( 5/4x - 2/3 )^4 = 3^4/2^4

=> 5/4x - 2/3 = 3/2

=> 5/3x = 13/6

=> x = 13/10

      Vậy x = 13/10

Answer 2

\(\left(\frac{5}{4}x-\frac{2}{3}\right)^4-\frac{3}{2}=\frac{57}{16}\)

\(\left(\frac{5}{4}x-\frac{2}{3}\right)^4-\frac{3}{2}=\frac{57}{16}+\frac{3}{2}\)

\(\left(\frac{5}{4}x-\frac{2}{3}\right)=\frac{81}{16}\)

Ta xét 2th:

Th1: \(\frac{5}{4}x-\frac{2}{3}=\left(\frac{81}{16}\right)^{\frac{1}{4}}\)

\(\Rightarrow x=\frac{26}{15}\)

Th2: \(\frac{5}{4}x-\frac{2}{3}=-\left(\frac{81}{16}\right)^{\frac{1}{4}}\)

\(\Rightarrow x=-\frac{2}{3}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{26}{15}\\x=-\frac{2}{3}\end{cases}}\)