Quadratic Formula - Game #1

The Quadratic Formula is used to find the solutions of a quadratic equation and is given by: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

In the quadratic equation $$ax^2 + bx + c = 0$$ , 'a' is the coefficient of $$x^2$$ , 'b' is the coefficient of $$x$$ , and 'c' is the constant term.

In the equation $$x^2 + 6x + 2$$ , a = 1, b = 6, and c = 2.

The first step is to identify the values of a, b, and c from the quadratic equation.

The discriminant indicates the nature of the roots: if it's positive, there are two distinct real roots; if it's zero, there is one real root; if it's negative, there are two complex roots.

The simplified form is $$-3 \pm \sqrt{7}$$ .

The simplified form is $$\frac{7 \pm \sqrt{21}}{2}$$ .

The quadratic formula is used to find the solutions (roots) of a quadratic equation.

The GCF helps to simplify expressions by factoring out the largest common factor from the terms.

You substitute the values of a, b, and c into the formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .