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Selina Concise Mathematics Class 10 ICSE Solutions Quadratic Equations Selina Publishers Concise Mathematics Class 10 ICSE Solutions Chapter 5 Quadratic Equations Quadratic Equations Exercise 5A – Selina Concise Mathematics Class 10 ICSE Solutions Find which of the following equations are quadratic: Solution 1(i) (3x – 1)2 = 5(x + 8) ⇒ (9x2 – 6x + 1) = 5x + 40 ⇒ 9x2 – 11x – 39 =0; which is of the form ax2 + bx + c = 0. ∴ Given equation is a quadratic equation. Solution 1(ii) 5x2 – 8x = -3(7 – 2x) ⇒ 5x2 – 8x = 6x – 21 ⇒ 5x2 – 14x + 21 =0; which is of the form ax2 + bx + c = 0. ∴ Given equation is a quadratic equation. Solution 1(iii) (x – 4)(3x + 1) = (3x – 1)(x +2) ⇒ 3x2 + x – 12x – 4 = 3x2 + 6x – x – 2 ⇒ 16x + 2 =0; which is not of the form ax2 + bx + c = 0. ∴ Given equation is not a quadratic equation. Solution 1(iv) x2 + 5x – 5 = (x – 3)2 ⇒ x2 + 5x – 5 = x2 – 6x + 9 ⇒ 11x – 14 =0; which is not of the form ax2 + bx + c = 0. ...