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In each part, determine whether the equation is linear in x₁, x₂, and x3. a. x₂ + 5x₂ - √√2x3 = 1

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Final answer:

The equation x₂ + 5x₂ - √√2x3 = 1 is not linear in x₁, x₂, and x₃. To be considered linear, an equation must have only variables raised to the power of 1 and no roots or exponents.

Step-by-step explanation:

The equation x₂ + 5x₂ - √√2x3 = 1 is not linear in x₁, x₂, and x₃.

To be considered linear, an equation must have only variables raised to the power of 1 and no roots or exponents.

In this equation, the term √√2x₃ violates the linearity requirement because it has a square root, which is an exponent of

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