Math Guide

Quadratic Formula Solving Online

Introduction:


The formula which gives solution to a quadratic equation is called quadratic formula.

The general form of quadratic equation is

                                                        ax2 + bx + c = 0

The quadratic formula is given as

The quadratic formula can also be used for solving quadratic equation through online which is explained below.

                 


Example problems on quadratic formula solving online:


Let us see few example problems to learn solving online distance formula.

Ex 1:

Solve the equation 2x2 + 3x - 4 = 0 using quadratic formula.

Sol:

        Step 1: Given equation

                                        2x2 + 3x - 4 = 0

       Step 2: Assign variables

                                       a = 2, b = 3, c = -4

       Step 3: Plug all values in the quadratic formula

                                   x = (-b ± (b2 - 4ac))/2a

                                   x = (-3±(32 - 4(2)(-4)))/2(2)

       Step 4:  Solve the above equation for x

                                   x = (-3±(9 + 32 ))/4

                                   x = (-3±41)/4

                                   x = (-3±6.403)/4

                                   x = (-3+6.403)/4, (-3-6.403)/4

       Step 5: The solution is x = 0.85, -2.35


Ex: 2

Solve the quadratic equation x2 - 3x - 6 = 0 using quadratic formula.

Sol:

       Step 1: Given equation

                                   x2 - 3x - 6 = 0

      Step 2: Assign the variables 

                                  a = 1, b = -3, c = -6

      Step 3: Plug all the values in quadratic formula

                                x = (-b ± (b2 - 4ac))/2a

                                x = (-(-3) ±((-3)2 - 4(1)(-6)))/2(1)

      Step 4: Solve the above equation and find x

                                 x = (3 ±( 9 + 24 ))/2

                                 x = (3 ±33)/2  

                                 x = (3 ± 5.74)/2

                                 x = (3 - 5.74)/2, (3 + 5.74)/2

       Step 5: The solution is x = -1.37, 4.37


My forthcoming post is on Adding Binary and Define Alternate Interior Angles will give you more understanding about Algebra.


Ex: 3

Solve the quadratic equation 2x2 - 4x - 6 = 0 using quadratic formula.

Sol:

       Step 1: Given equation

                                  2x2 - 4x - 6 = 0

       Step 2: Assign the variables

                                 a = 2, b = -4, c = -6

        Step 3: Plug all the values in quadratic formula

                                    x = (-b ± (b2 - 4ac))/2a

                                    x = (-(-4) ±((-4)2 - 4(2)(-6)))/2(2)

        Step 4: Solve the above equation for x

                                    x = (4 ±( 16 + 48 ))/4

                                    x = (4 ± 64)/4

                                    x = (4 ± 8)/4

                                   x = (4 + 8)/4, (4 - 8)/4

       Step 5: The solution is x = 3, -1


Homework problems to learn quadratic formula solving online:


                   The following homework problem is helpful to learn quadratic formula solving online.

Find the solution for the following equations using quadratic formula,

1) x2 + 11x + 5

2) x2 + 3x + 2

3) 2x2 + 3x +4

4) 4x2 + 2x + 1

Sol:

1) x = -0.47, x = -10.5

2) x =-1, x =-2

3) x = -0.75 ± 1.199i

4) x = -0.25 ± 0.433i