How To Do Quadratic Equation Quickly

Are you struggling with the solution of quadratic equation? Then you at right place. Basically quadratic equations are used to find the curve on a Cartesian grid and also used to find the curve of flying objects. For examples, football, baseball, basketball, etc. The general form of the equation is ax^2+bx+c=0, it is a second degree polynomial equation. There are many ways to get solution of a quadratic equation. Keep reading and find how it is possible to solve quadratic equation quickly.

Factoring:

This is one of the easiest ways to solve quadratic equation, but it is not applicable to solve all the quadratic equation.

1) Combine all like term and move them to one side of the equation.

2) Factor the expression. Find the common factors.

3) Set each set of parenthesis equal to zero and solve.

Example: 2x^2-8x-4=3x-x^2

Step1: 2x^2+x^2-8x-3x-4=0

3x^2-11x-4=0

Step2:
3x^2-12x+x-4=0

3x(x-4) +1(x-4) =0

(x - 4)(3x + 1)=0

Step3:
x-4=0 or 3x+1=0

So, x=4 or x= -1/3

Quadratic Formula:

Sometimes quadratic equations are too messy and factoring method may not always be successful, but the quadratic formula can always find the solution.

1) Combine all like term and move them to one side of the equation.

2) Write down quadratic formula x= [-b±√ (b^2-4ac)]/ [2a].

3) Identify the values of a, b and c in the quadratic equation and substitute into the formula.

4) Simplify the square root and do the calculation.

Example: 4x^2-5x-13=x^2-5

Step1: 3x^2-5x-8=0   

Step2: x = [-b±√ (b^2-4ac)]/ [2a]

Step3: Compare equation with ax^2+bx+c=0

So, a=3, b= -5 and c=8

Step4: x= [5±√ ((-5)^2-4*3*8)]/ [2*3]

So, x=1/6[5±i√71]

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