Multiple choice

ax2 + bx + c = 0 is a standard quadratic equation. If x(x - 5) = 19, find the values of a, b and c.

  1. a = 5, b = 19, c = 1

  2. a = 1, b = 5, c = 19

  3. a = 0, b = 5, c = 19

  4. a = 1, b = -5, c = -19
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D Correct answer
Explanation

Expand the equation: x(x - 5) = 19 becomes x^2 - 5x = 19. Rearranging to standard form ax^2 + bx + c = 0 gives x^2 - 5x - 19 = 0. Comparing this to the standard form, a = 1, b = -5, and c = -19.

AI explanation

First, expand the given equation x(x - 5) = 19 to get x2 - 5x = 19. Next, subtract 19 from both sides to set the equation to zero, resulting in x2 - 5x - 19 = 0. Comparing this to the standard quadratic form ax2 + bx + c = 0, we identify a as 1, b as -5, and c as -19.

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