Question

what is mean by quadratic equations​

Answer 1

Answer:

Here is your answer.

Step-by-step explanation:

Any equation that can be represented in the form of ax² + bx + c can be termed as a quadratic equation.

Eg: x² + 3x + 12

4x² + 7x + 42

Answer 2

Answer :-

The expression whose highest power of variable is 2 are called as quadratic expression.

If P(x) is a quadratic expression in variable x, then P(x) = 0 is known as a quadratic equation.

General form of a quadratic equation :-

The general form of quadratic equation is ax² + bx + c = 0 where a , b , c are real numbers and a ≠ 0.

Example of quadratic equation :-

→ 3x² + 4x + 5 = 0

→ x² - 9 = 0

→ 11x² + 14x = 0

Roots of the quadratic equation :-

Roots of the quadratic equation ax² + bx + c = 0 are -

$\sf\dfrac{-b + \sqrt{b^2-4ac}}{2a} \:and \:\dfrac{-b - \sqrt{b^2-4ac}}{2a}$