Quadratic Equation


 Using a very easy trick, we can find the roots of any quadratic equation.

First of all, we will understand the different parts of an equation.

To understand the type of an equation, we must first understand the variable, because only then can we identify what type of equation it is.

A variable in an equation is indicated by English letters. Most commonly, variables are represented by x and y, but we can use any letter.

Variable:

A variable is the part of an equation whose value is not fixed.

In a quadratic equation, the power (or index) of the variable is always two.

Examples:

x²

m², etc.

General form of a quadratic equation:

Here, a, b, and c are constants.

The value of a is never zero.

Set – A (Single Variable)

1. x^2 + 5x + 6 = 0

2. x^3 − 4x + 1 = 0

3. 2y^2 − 7y = 0

4. 5x + 9 = 0

5. 3m^2 + 2m + 1 = 0

6. a^2 = 4

7. x^2 + x^3 = 0

8. 7p^2 − 11

Practice set:

Questions

1. x^2 + 5x + 6 = 0

2. x^3 − 4x + 1 = 0

3. 2y^2 − 7y = 0

4. 5x + 9 = 0

5. 3m^2 + 2m + 1 = 0

6. a^2 = 4

7. x^2 + x^3 = 0

8. 7p^2 − 11 = 0

9. (x − 3)(x + 2) = 0

10. x(x + 5) = 0

Answers

1. Quadratic Equation

2. Not Quadratic (power is 3)

3. Quadratic Equation

4. Not Quadratic (power is 1)

5. Quadratic Equation

6. Quadratic Equation

7. Not Quadratic (power is 3)

8. Quadratic Equation

9. Quadratic Equation

10. Quadratic Equation

Continues……….


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