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# Important definitions and formulas - Quadratic Equations Class 10 Notes | EduRev

## Mathematics (Maths) Class 10

Created by: Indu Gupta

## Class 10 : Important definitions and formulas - Quadratic Equations Class 10 Notes | EduRev

The document Important definitions and formulas - 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

⇒ The standard/general form of quadratic equation is ax2 + bx + c = 0, a ≠ 0 and a, b, c are real numbers. In this equation, variable is ‘x’ and the degree of the equation is ‘2’
⇒ If x = a satisfies the equation ax2 + bx + c = 0, then α is known as the root of the quadratic equation.
⇒ The roots and zeroes of the quadratic equation ax2 + bx + c = 0, a ≠ 0 are same.
⇒ If the given quadratic equation ax2 + bx + c = 0, a ≠ 0 can be factorised into two linear factors, then its roots can be found by equating each factor equal to zero.
⇒ We can solve the quadratic equation by completing the square.
⇒ The roots of the quadratic equation ax2 + bx + c = 0, a ≠ 0 can be found by using the following formula, if its discriminant (D = b2 - 4ac) is greater than or equal to zero. ⇒ A quadratic equation ax2 + bx + c = 0, a ≠ 0 has:
(i) two distinct real roots, if D > 0.
(ii) two equal roots (i,e., repeated roots), if D = 0.
(iii) no real roots, if D < 0.

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