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â‡’ The standard/general form of quadratic equation is ax^{2} + bx + c = 0, a â‰ 0 and a, b, c are real numbers. In this equation, variable is â€˜xâ€™ and the degree of the equation is â€˜2â€™

â‡’ If x = a satisfies the equation ax^{2} + bx + c = 0, then Î± is known as the root of the quadratic equation.

â‡’ The roots and zeroes of the quadratic equation ax^{2} + bx + c = 0, a â‰ 0 are same.

â‡’ If the given quadratic equation ax^{2} + bx + c = 0, a â‰ 0 can be factorised into two linear factors, then its roots can be found by equating each factor equal to zero.

â‡’ We can solve the quadratic equation by completing the square.

â‡’ The roots of the quadratic equation ax^{2} + bx + c = 0, a â‰ 0 can be found by using the following formula, if its discriminant (D = b^{2} - 4ac) is greater than or equal to zero.

â‡’ A quadratic equation ax^{2} + bx + c = 0, a â‰ 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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