Multiple choice

The standard quadratic formula to solve the quadratic equation $ax^2+bx+c=0$ is given by.

  1. $x=\dfrac{b\pm \sqrt{b^2+4ac}}{2a}$
  2. $x=\dfrac{\sqrt{b^2-4ac}}{2a}$
  3. $x=\dfrac{-b\pm \sqrt{b^2+4ac}}{2a}$
  4. $x=\dfrac{-b\pm \sqrt{b^2- 4ac}}{2a}$
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D Correct answer
Explanation

The quadratic formula for ax^2 + bx + c = 0 is x = (-b +/- sqrt(b^2 - 4ac)) / 2a.

AI explanation

The standard formula used to find the roots of a quadratic equation in the form ax^2 + bx + c = 0 is derived by completing the square. This method isolates x to produce the formula x = (-b plus or minus the square root of (b^2 - 4ac)) divided by 2a.

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