Quadratic Equations Q1 — Class 10 Maths Solution

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Maths Quadratic Equations Hard

State whether the following quadratic equations have two distinct real roots. Justify your answer.

(i) $x^{2} - 3 x + 4 = 0$
(ii) $2 x^{2} + x - 1 = 0$
(iii) $2 x^{2} - 6 x + \frac{9}{2} = 0$
(iv) $3 x^{2} - 4 x + 1 = 0$
(v) $(x + 4)^{2} - 8 x = 0$
(vi) $(x - 2)^{2} - 2 (x + 1) = 0$
(vii) $2 x^{2} - \frac{3}{2} x + \frac{1}{2} = 0$
(viii) $x (1 - x) - 2 = 0$
(ix) $(x - 1) (x + 2) + 2 = 0$
(x) $(x + 1) (x - 2) + x = 0$

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