Question

Why do you factor quadratic equations?

Answer 1

Generally, quadratic equations are simply solved by using middle term factorisation.

Let us consider some examples for clearing the matter.

1⃣ x² + 5x - 204 = 0

Or, x² + 17x - 12x - 204 = 0

Or, x(x+17) - 12(x+17) = 0

Or, (x+17) (x-12) = 0

Hence, either, x=12, or x=-17.

2⃣ x² = 6x

Or, x²-6x = 0

Or, x(x-6) = 0

So, Either x = 0, or, x = 6.

3⃣ x² - 15x + 56 = 0

Or, x² - 7x - 8x + 56 = 0

Or, x(x-7) -8(x-7) = 0

Or, (x-7) (x-8) = 0

So, either, x = 7, or x = 8

Like this way, we can solve any quadratic equation using FACTORISATION.