quadratic equation examples

Let us solve quadratic equation examples.

There are 4 methods to solve quadratic equation. they are as follows;

1) Completing the Square, 2) Using the Quadratic Formula , 3) Factoring, 4) Square Root Method

Solve x² + x = 20 by factoring. And give a positive number only

Rewrite equation in standard form: x² + 2 x − 20 = 0

Factor the left side: (x + 5) (x − 4) = 0

Apply zero-product rule: x + 5 = 0 or x − 4 = 0

Solve for x in each equation: x = 4 and x =-5

Solve equation (3x −1)² − 9 = 0.

Apply square root method: (3 x − 1) ² = 9

3 x − 1 = √9 or 3x - 1 = − √9

3 x − 1 = 3 or 3 x − 1 = −3

Solve equations:

3x −1+1= 3 +1 or 3x -1+1= -3 +1

3 x = 4 or 3 x = −2

X = 4/3 or x = -2/3

In our next blog we shall learn about solving polynomial equations I hope the above explanation was useful.Keep reading and leave your comments.