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Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

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Get Started Now- Lesson: 17:19
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- Lesson: 46:00

Not sure if you should solve the quadratic equation by factoring or completing the square? No worries. You can always use the quadratic formula. The beauty of the quadratic formula is that it can always give you the answer no matter if the quadratic equations can be factored or not.

Basic concepts: Quadratic function in general form: $y = ax^2 + bx+c$, Shortcut: Vertex formula, Multiplying and dividing radicals,

Related concepts: System of quadratic-quadratic equations, Graphing quadratic inequalities in two variables, Graphing systems of quadratic inequalities, Conics - Parabola,

For the quadratic equation: $a{x^2} + bx + c = 0$

the solutions are: $x = \frac{{ - b\; \pm \;\sqrt {{b^2} - 4ac} }}{{2a}}$

- 1.Solve the equation using the quadratic formula:

$2{x^2} - 12x + 10 = 0$ - 2.
**Solving a quadratic equation with TWO REAL SOLUTIONS**

Solve using the quadratic formula: $x^2+10x+6=0$ - 3.
**Solving a quadratic equation with ONE (REPEATED) REAL SOLUTION**

Solve using the quadratic formula: $9x^2+25=30x$ - 4.
**Solving a quadratic equation with TWO COMPLEX SOLUTIONS**

Solve using the quadratic formula: $-3x^2-24x=49$

8.

Quadratic Functions

8.1

Characteristics of quadratic functions

8.2

Graphing parabolas for given quadratic functions

8.3

Finding the quadratic functions for given parabolas

8.4

Solving quadratic equations by factoring

8.5

Solving quadratic equations by completing the square

8.6

Using quadratic formula to solve quadratic equations

8.7

Nature of roots of quadratic equations: the discriminant

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