Question

Which of the following methods would be the easiest to use to solve x2 + 5x – 6 = 0?



All three methods would be easy and effective.

isolating the x2 term and finding the square root of both sides

factoring

using the quadratic formula

Answer 1

For me personally, the easiest way to do this is by isolating the x² term, and finding the square root of both sides. The hardest way (well actually, the longest way) would be to use the quadratic formula. It just complicates things unnecessarily. 

Answer 2

The methods of isolating the x^2 term and finding the square root of both sides would be the easiest to use to solve x^2 + 5x – 6 = 0.

What is the general form of a quadratic functions whose both the roots are known?

Suppose that the roots of a quadratic equation be x = a, and x = b (quadratic equation in single variable x).

Then, the family of quadratic functions that possess these roots is:

$f(x) = t(x-a)(x-b)$

where t can have any real number value.

The given function is

$x^2 + 5x - 6 = 0$

The easiest way to do this equation solving is by isolating the x² term and finding the square root of both sides.

The longest way would be to use the quadratic formula. It will complicate things unnecessarily and gives a lengthy solution.

Learn more about quadratic functions here:

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