How do you rearrange the expression 0.020x^2 + 85x into quadratic form ax² + bx + c = 0?

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To rearrange the expression 0.020x² + 85x into the standard quadratic form ax² + bx + c = 0, you need to follow a few simple steps:

  1. Identify coefficients: In the expression 0.020x² + 85x, we can see that:
    • a (the coefficient of x²) = 0.020
    • b (the coefficient of x) = 85
    • c = 0 (since there is no constant term present)
  2. Add a constant term to both sides: In order to set the expression equal to zero, we can write:

    3. 0.020x² + 85x – 0 = 0

  3. Final expression: This gives us the complete quadratic equation in the desired form:

    4. 0.020x² + 85x + 0 = 0

In this expression, we have confirmed that a = 0.020, b = 85, and c = 0. Now, the expression is in standard quadratic form!

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