Courses

# Facts That Matter- Quadratic Equations Class 10 Notes | EduRev

## Mathematics (Maths) Class 10

Created by: Vp Classes

## Class 10 : Facts That Matter- Quadratic Equations Class 10 Notes | EduRev

The document Facts That Matter- Quadratic Equations Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

Facts that Matter

An equation of the form ax2 + bx + c = 0, where a, b, c are real numbers, and a ≠ 0, is called a quadratic equation in the variable x.
Examples:
x2 − 3x + 4 = 0 2x2 − 149 = 0
• Roots of a Quadratic Equation:
A value x = α is said to be a root of ax2 + bx + c = 0 if it satisfies the equation.
Example: 2 is a root of 3x2 − x − 10 = 0 because 3(2)2 − 2 − 10 = 0.
A quadratic equation has at most two roots (zeroes). Either it has no zero, or two zeroes.
We can solve a quadratic equation by factorisation.
Example:
Solve 6x2 - x - 2 = 0
⇒ 6x2 + 3x - 4x - 2 = 0
⇒ 3x(2x + 1) - 2(2x + 1)  0
⇒ (3x - 2) (2x + 1)  = 0
⇒ 3x - 2 = 0 or  2x + 1 = 0
⇒ x = 2/3 or x = -1/2
These are the two roots of the equation.
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;