InterviewSolution
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InterviewSolution
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What is the nature of roots of the quadratic equation `2x^2-sqrt5x+1=0 ?`A. two distinct real rootsB. two equal real rootsC. no real rootsD. more than 2 real roots |
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Answer» Correct Answer - C Given equation is `2x^(2)-sqrt(5)x+1=0` On comparing with `ax^(2)+bx+c=0` we get `a=2,b=-sqrt(5)` and `c=1` `:.` Discriminant `D=b^(2)-4ac=(-sqrt(5))^(2)-4xx(2)xx(1)=5-8` `=-3lt0` since discriminant is negatice therefore quadratic equation `2x^(2)-sqrt(5)x+1=0` has no real roots i.e. imaginary roots. |
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