Question

9x¹⁰= 4x⁸

Mình cần gấp, mong mọi người giúp

Answer 1

9(x⁵)² = 4(x⁴)²

<=> (3.x⁵)² = (2.x⁴)²

<=> 3x⁵ = 2x⁴

<=> 3x⁵ - 2x⁴ = 0

<=> x⁴(3x - 2) = 0

<=> \(\left[{}\begin{matrix}x^4=0\\3x-2=0\end{matrix}\right.\)

<=> \(\left[{}\begin{matrix}x=0\\x=\dfrac{2}{3}\end{matrix}\right.\)

Answer 2

\(9x^{10}=4x^8\)

\(9x^{10}-4x^8=0\)

\(x^8\left(9x^2-4\right)=0\)

\(9x^2-4=0\)

\(x^2=\dfrac{4}{9}\)

⇒\(\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-\dfrac{2}{3}\end{matrix}\right.\)