Chapter 4 Quadratic Equations

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.4 Page 91 1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them; (i) 2x2 – 3x + 5 = 0 Answer 2x2 – 3x + 5 = 0 Comparing the equation with ax2 + bx + c = 0, we get a = 2, b = -3 and c = 5 We know, Discriminant = b2 – 4ac = ( – 3)2 – 4 (2) … [Read more...] about Exercise 4.4

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.3 Page 87 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2 – 7x + 3 = 0 ⇒ 2x2 – 7x = – 3 Dividing by 2 on both sides, we get ⇒ x2 -7x/2 = -3/2 ⇒ x2 -2 × x × 7/4 = -3/2 On adding (7/4)2 to both sides of equation, we get ⇒ … [Read more...] about Exercise 4.3

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2 Page 76 1. Find the roots of the following quadratic equations by factorisation: (i) x2 – 3x – 10 = 0 Answer Given, x2 – 3x – 10 =0 Taking LHS, ⇒ x2 – 5x + 2x – 10 ⇒ x(x – 5) + 2(x – 5) ⇒ (x – 5)(x + 2) The roots of this equation, x2 – 3x – 10 = 0 are the values of x for which (x – … [Read more...] about Exercise 4.2

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.1 Page 73 1. Check whether the following are quadratic equations: (i) (x + 1)2 = 2(x – 3) Given, (x + 1)2 = 2(x – 3) By using the formula for (a+b)2 = a2+2ab+b2 ⇒ x2 + 2x + 1 = 2x – 6 ⇒ x2 + 7 = 0 Since the above equation is in the form of ax2 + bx + c = 0. ∴ the given … [Read more...] about Exercise 4.1