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If the ratio of the roots of the equation `lx^2+nx+n=0` is `p:q` prove that `sqrt(p/q) +sqrt(q/p)+sqrt(n/l)=0`

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
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  3. If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove tha...

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  6. If one root of the quadratic equation ax^(2)+bx+c=0 is equal to the ...

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  7. If a,b,c are in G.P. then the roots of the equation a x^2 + bx + c = 0...

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  8. Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

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  9. If alpha is a root of the equation x^2+2x-1=0, then prove that 4alpha^...

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  10. If alpha, beta are the roots of the equations x^2+px+q=0 then one of t...

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  12. If alpha,beta are the nonzero roots of a x^2+b x+c=0a n dalpha^2,beta^...

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  15. If a, b are the roots of x^2 + px + 1 = 0 and c, d are the roots of ...

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  18. The coefficient of x in the equation x^2+px+q=0 was wrongly written as...

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  19. In copying a quadratic equation of the form x^2 +px +q=0,a student wro...

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  20. Find p in R for which x^2-px+p+3=0 has one positive and one negative r...

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