Multiple choice

Identify the absolute term for the quadratic equation $3x + 2 = (4 - 5x)x$.

  1. $1$
  2. $2$
  3. $3$
  4. $4$
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B Correct answer
Explanation

Expand the equation: 3x + 2 = 4x - 5x^2. Rearrange to standard form: 5x^2 - x + 2 = 0. The absolute term (constant term) is the value without x, which is 2.

AI explanation

First, simplify the given equation by multiplying the terms on the right side to get 3x + 2 = 4x - 5x^2. Rearranging this into the standard quadratic form ax^2 + bx + c = 0 gives 5x^2 - x + 2 = 0. The absolute term is the constant value without any x variable, which in this equation is 2. The absolute term is 2.

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