1.3 Quadratic Formula

1.3 Quadratic Formula

1.3. (i) Derivation of quadratic formula by using completing square method.

The quadratic equation in standard form is $ax^{2} + bx + c = 0, a\neq 0$

Dividing each term of the equation by $a$ , we get $x^2+\frac{b}{a}x+\frac{c}{a}=0$$x^{2} + \frac{b}{a} x + \frac{c}{a} = 0$

Shifting constant term $\frac{c}{a}$$\frac{c}{a}$ to the right, we have $x^2+\frac{b}{a}x=-\frac{c}{a}$$x^{2} + \frac{b}{a} x = -\frac{c}{a}$