# 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

ax^{2} + 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 2x^{2 }+ 3x - 4 = 0 using quadratic formula.

Sol:

Step 1: Given equation

2x^{2 }+ 3x - 4 = 0

Step 2: Assign variables

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

Step 3: Plug all values in the quadratic formula

x = (-b ± √(b^{2} - 4ac))/2a

x = (-3±√(3^{2} - 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 x^{2} - 3x - 6 = 0 using quadratic formula.

Sol:

Step 1: Given equation

x^{2} - 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 ± √(b^{2} - 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

Ex: 3

Solve the quadratic equation 2x^{2} - 4x - 6 = 0 using quadratic formula.

Sol:

Step 1: Given equation

2x^{2} - 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 ± √(b^{2} - 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) x^{2} + 11x + 5

2) x^{2} + 3x + 2

3) 2x^{2} + 3x +4

4) 4x^{2} + 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