how to solve quadratic equ short cut method ???

Question

phebe · Answer

An example of a Quadratic Equation:

Quadratic Equation

The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2).

It is also called an "Equation of Degree 2" (because of the "2" on the x)

The Standard Form of a Quadratic Equation looks like this:

Quadratic Equation

    a, b and c are known values. a can't be 0.
    "x" is the variable or unknown (you don't know it yet).

Here are some more examples:
	  	In this one a=2, b=5 and c=3
  	  	 
	  	This one is a little more tricky:

    Where is a? In fact a=1, as we don't usually write "1x2"
    b = -3
    And where is c? Well, c=0, so is not shown.

	  	Oops! This one is not a quadratic equation, because it is missing x2 (in other words a=0, and that means it can't be quadratic)

unklerhaukus · Answer

A Quadratic Equation$$ax^2+bx+c=0$$
The Quadratic Formula$$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$
Factored for of the Quadratic Equation$$(x-x_1)(x-x_2)=0$$

If you can factor the quadratic with out the quadratic formula , the solutions $x_1$, $x_2$ are easily read off.

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for example
the quadratic equation
$$x^2+5x+6=0$$
can be factored 
$$(x+2)(x+3)=0$$
so the solutions are $x_1=-2$ and $x_2=-3$.

phebe · Answer

did i help?

phebe · Answer

thanx for the medal