quadratic 

Q1

What is a quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by ax² + bx + c = 0, where a ≠ 0.

Q2

What are the methods to solve a quadratic equation?

There are majorly four methods of solving quadratic equations. They are:
Factorisation
Using Square roots
Completing the square
Using quadratic formula

Q3

Is x² – 1 a quadratic equation?

Since the degree of the polynomial is 2, therefore, given equation is a quadratic equation.

Q4

What is the solution of x² + 4 = 0?

The solution of quadratic equation x² – 4 is x = 2 or x = -2.

Q5

Write the quadratic equation in the form of sum and product of roots.

If α and β are the roots of a quadratic equation, then;
Sum of the roots = α+β
Product of the roots = αβ
Therefore, the required equation is:
x² – (α+β)x + (αβ) = 0