What is the improved quadratic formula in solving quadratic equations?

1 Answer
Nghi N.
Apr 5, 2016

The improved quadratic formula (Google, Yahoo, Bing Search)

Explanation:

The improved quadratic formulas;
D = d^2 = b^2 - 4ac (1)
x = -b/(2a) +- d/(2a) (2).

In this formula:
- Quantity -b/(2a) represents the x-coordinate of the axis of symmetry.
- Quantity +- d/(2a) represents the distances from the axis of symmetry to the 2 x-intercepts.
Advantages;
- Simpler and easier to remember than the classical formula.
- Easier for computing, even with a calculator.
- Students understand more about the quadratic function features, such as: vertex, axis of symmetry, x-intercepts.

Classical formula:
x = -b/(2a) +- (sqrt(b^2 - 4ac)/(2a))

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