Question

(x+6)^1/3=(8x+48)^1/4​

Answer 1

Ответ:

0,6

Объяснение:

Возможно я не правильно поняла‍♀️

Answer 2

To solve the given equation:

(x + 6)^(1/3) = (8x + 48)^(1/4)

Let's start by isolating one of the radicals. We'll raise both sides of the equation to the power that will eliminate one of the radicals. Since the smaller exponent is 1/3, let's raise both sides to the 12th power (which is the least common multiple of 3 and 4):

[(x + 6)^(1/3)]^12 = [(8x + 48)^(1/4)]^12

This simplifies to:

(x + 6)^4 = (8x + 48)^3

Expand both sides:

x^4 + 24x^3 + 216x^2 + 864x + 1296 = 512x^3 + 6912x^2 + 41472x + 110592

Now, we can rearrange the terms to one side of the equation:

x^4 - 488x^3 - 6696x^2 - 40608x - 109296 = 0

This is a quartic equation, which can be challenging to solve directly. You might need to use numerical methods or a graphing calculator to find the approximate solutions.