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NCERT Class 10 Mathematics Chapter 4 Quadratic Equations PDF
• 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
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NCERT Book for Class 10 Mathematics Chapter 4 Quadratic Equations
Chapter Textbook PDF for Class 10 Mathematics
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