Question

Sin⁴x+sin⁴x(x+π/4)=1/4помогите не решается

Answer 1

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Answer 2

Solving the Equation sin⁴x + sin⁴x(x+π/4) = 1/4

To solve the equation sin⁴x + sin⁴x(x+π/4) = 1/4, we can follow these steps:

Step 1: Simplify the equation Step 2: Solve for x

Let's go through each step in detail.

Step 1: Simplify the Equation

To simplify the equation, we need to expand the terms and combine like terms. Let's start by expanding sin⁴x(x+π/4):

sin⁴x(x+π/4) = sin⁴x * x + sin⁴x * π/4

Now, let's rewrite the equation with the expanded terms:

sin⁴x + sin⁴x * x + sin⁴x * π/4 = 1/4

Step 2: Solve for x

To solve for x, we need to isolate x on one side of the equation. Let's rearrange the terms:

sin⁴x * x = 1/4 - sin⁴x - sin⁴x * π/4

Now, we can solve for x by dividing both sides of the equation by sin⁴x:

x = (1/4 - sin⁴x - sin⁴x * π/4) / sin⁴x

Unfortunately, at this point, it seems that the equation cannot be further simplified algebraically. To find the numerical solution for x, we may need to use numerical methods or approximation techniques.

Please note that without additional context or constraints, it is difficult to provide a specific solution for x. If you have any additional information or constraints, please let me know, and I'll be happy to assist you further.

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