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For the equation ax2 + bx + c = 0, a ≠ 0, write the expression for discriminant D.Comment upon nature of roots if(i) D > 0 (ii) D = 0 (iii) D < 0. |
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Answer» For the equation ax2+ bx + c = 0, a ≠ 0, The discriminant D is given by D =b2 – 4ac. And we know that roots of given equation is given by x = \(\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-b\pm\sqrt{D}}{2a}.\) (i) If D > 0 then roots are real and distinct. (ii) If D = 0 then roots are real and equal. (iii) If D < 0 then rots are distinct but not real (imaginary). |
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