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Get ICSE Solutions for Class 10 Mathematics Chapter 6 Quadratic Equation for ICSE Board Examinations on APlusTopper.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option. Formulae. The standard form of a quadratic equation is ax 2 + bx + c = 0, where a, b and c are all real numbers and a ≠ 0. E.g., equation 4x 2 + 5x – 6 = 0 is a quadratic equation in standard form. Every quadratic equation gives two values of the unknown variable and these values are called roots of the equation.
Zero Product Rule: Whenever the product of two expressions is zero; at least one of the expressions is zero. using the formula: The roots of the quadratic equation ax 2 + bx + c = 0; where a ≠ 0 can be obtained by using the formula:. To examine the nature of the roots: Examining the roots of a quadratic equation means to see the type of its roots i.e., whether they are real or imaginary, rational or irrational, equal or unequal. The nature of the roots of a quadratic equation depends entirely on the value of its discriminant b 2 – 4ac. Case I: If a, b and c are real numbers and a ≠ 0, then discriminant: (i) b 2 – 4ac = 0 ⇒ the roots are real and equal. (ii) b 2 – 4a c 0 ⇒ the roots are real and unequal. (iii) b 2 – 4ac 0 and b 2 – 4ac is a perfect square ⇒ the roots are rational and unequal.
(iii) b 2 – 4ac 0 and b 2 – 4ac is not a perfect square ⇒ the roots are irrational and unequal. (iv) b 2 – 4ac.
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ICSE Class 10 Mathematics Solution for Selina Publishers Books Concise Mathematics Class 10 ICSE Solutions have been solved by expert teachers from across the nation to help students ace the class 10 board exams conducted by the ICSE (Indian Council of Secondary Education) board.
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