Question

Решите уравнение. 2x^6=32x^4

Answer 1

2X^6 = 32X^4 
X^6 = 16X^4 
X^2 = 16 
X1 = + 4 
X2 = ( - 4 ) 

Answer 2

I can help you solve the equation.

To solve the equation, we need to find the values of x that make it true. We can start by dividing both sides by 2x^4, which gives us:

$$\frac{2x^6}{2x^4}=\frac{32x^4}{2x^4}$$

$$x^2=16$$

Then, we can take the square root of both sides, remembering that there are two possible solutions: one positive and one negative. We get:

$$x=\pm\sqrt{16}$$

$$x=\pm 4$$

Therefore, the equation has two solutions: x = 4 and x = -4. You can check these answers by plugging them back into the original equation and verifying that they make it true.

I hope this helps you understand how to solve the equation. If you want to learn more about algebra, you can check out some online resources, such as [Symbolab](https://ru.symbolab.com/solver/equation-calculator) or [Microsoft Math Solver](https://mathsolver.microsoft.com/ru/algebra-calculator).