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07.07.2022 - 23:40

What are the steps to solve the equation 5x – 2 = 3x^4?

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What are the steps to solve the equation 5x – 2 = 3x^4?

Answers (1)

Zakai April 8, 2023 в 05:44

To solve the equation 5x - 2 = 3x^4, we need to isolate the variable on one side of the equation. Step 1: Move all the variable terms to one side by subtracting 5x from both sides. This gives us: -2 = 3x^4 - 5x Step 2: Rearrange the terms by bringing the x term to the left side and the constant term to the right side. This gives us: 3x^4 - 5x + 2 = 0 Step 3: Factor the equation using the difference of cubes formula. This gives us: (3x^2 - 2)(x^2 - 1) = 0 Step 4: Solve for x by setting each factor equal to zero and solving. This gives us: 3x^2 - 2 = 0 or x^2 - 1 = 0 3x^2 = 2 or x^2 = 1 x = ?(2/3) or x = ±1 Therefore, the solutions to the equation 5x - 2 = 3x^4 are x = ?(2/3) or x = ±1.

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