Access Answers to NCERT 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) (ii) x 2 – 2x = (–2) (3 – x) (iii) (x – 2)(x + 1) = (x – 1)(x + 3) (iv) (x – 3)(2x +1) = x(x + 5) (v) (2x – 1)(x – 3) = (x + 5)(x – 1) (vi) x 2 + 3x + 1 = (x – 2) 2 (vii) (x + 2) 3 = 2x (x 2 – 1) (viii) x 3 – 4x 2 – x + 1 = (x – 2) 3 Solutions: (i) Given, (x + 1) 2 = 2(x – 3) By using the formula for (a+b) 2 = a 2 +2ab+b 2 ⇒ x 2 + 2x + 1 = 2x – 6 ⇒ x 2 + 7 = 0 Since the above equation is in the form of ax 2 + bx + c = 0. Therefore, the given equation is quadratic equation. (ii) Given, x 2 – 2x = (–2) (3 – x) ⇒ x 2 – 2x = -6 + 2x ⇒ x 2 – 4x + 6 = 0 Since the above equation is in the form of ax 2 + bx + c = 0. Therefore, the g...
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