NCERT Book Class 10 Maths Quadratic Equations Questions

• Quadratic equation : A quadratic equation in the variable x is of the form ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0.
• Roots of a quadratic equation : A real number α is said to be a root of the quadratic equation ax² + bx + c = 0, if aα² + bα + c = 0.
• The roots of the quadratic equation ax² + bx + c = 0 are the same as the zeroes of the quadratic polynomial ax² + bx + c.
• Finding the roots of a quadratic equation by the metho factorisd ofation : If we can factorise the quadratic polynomial ax² + bx + c, then the roots of the quadratic equation ax² + bx + c = 0 can be found by equating to zero the linear factors of ax² + bx + c.

• Finding the roots of a quadratic equation by the method of completing the square : By adding and subtracting a suitable constant, we club the x2 and x terms
in the quadratic equation so that they become a complete square, and solve for x.
• Quadratic Formula : If b² – 4ac ≥ 0, then the real roots of the quadratic equation ax² + bx + c = 0 are given by b/2a  √b²  4ac/2a 
• The expression b² – 4ac is called the discriminant of the quadratic equation.
• Existence of roots of a quadratic equation: A quadratic equation ax²+bx+c=0 has

Please refer to attached file for NCERT Class 10 Maths Quadratic Equations Questions