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Question

Find the values of a, b, c for following quadratic equations by comparing with standard form. (i) x2 + 2x + 1 = 0 (ii) 2x2 – x + 3 = 0 (iii) x2 – x – 3 = 0 (iv) x2 + 5x – 4 = 0 (v) x2 – 7x + 4 = 0 (vi) 4x2 – 9x + 1 = 0

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Solution

(i) Given: x2 + 2x + 1 = 0 On comparing this equation with the standard form of the quadratic equation ax2 + bx + c = 0, we get: a = 1, b = 2 and c = 1 (ii) Given: 2x2 – x + 3 = 0 On comparing this equation with the standard form of the quadratic equation ax2 + bx + c = 0, we get: a = 2, b = –1 and c = 3 (iii) Given: x2 – x – 3 = 0 On comparing this equation with the standard form of the quadratic equation ax2 + bx + c = 0, we get: a = 1, b = –1 and c = –3 (iv) Given: x2 + 5x – 4 = 0 On comparing this equation with the standard form of the quadratic equation ax2 + bx + c = 0, we get: a = 1, b = 5 and c = –4 (v) Given: x2 – 7x + 4 = 0 On comparing this equation with the standard form of the quadratic equation ax2 + bx + c = 0, we get: a = 1, b = –7 and c = 4 (vi) Given: 4x2 – 9x + 1 = 0 On comparing this equation with the standard form of the quadratic equation ax2 + bx + c = 0, we get: a = 4, b = –9 and c = 1

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