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Find the values of 'm' for which the equ...

Find the values of 'm' for which the equation `x^4-(m-3)x^2+m`=0 has
Four real roots

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If,alpha be the root of equation ax^2+bx+c=0 and beta be root of -ax^2...

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  2. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has Fo...

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  3. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has Fo...

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  4. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has No...

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  5. For what value of 'm' inR, both roots of the equation x^2-6mx+9m^2-2m+...

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  6. Find the value(s) of 'a' for which the inequality tan^(2)x+(a+1) t...

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  7. Find the common root of x^2-3x+2=0 and x^2+x-2=0

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  8. Find the condition if equations ax^2+bx+c=0 and x^2+2x+3=0 have a comm...

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  9. If x^2+ax+bc=0 and x^2+bx+ac=0 have a common root, show their other ro...

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  10. If alpha,beta are the roots x^2+px+q=0 and gamma,delta are the roots o...

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  11. Find condition if ax^3+bx^2+cx+d=0, has exactly one real root, (a,b,c,...

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  12. Let P(x)equiv ((x-a)(x-b))/((c-a)(c-b)).c^2+((x-b)(x-c))/((a-b)(a-c))....

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  13. Solve the equation (x^2-6x)^2=81+2(x-3)^2

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  14. Show f(x)=x^3+px+q=0 has a repeated root if 4p^3+27q^2=0

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  15. Show x^5-2x^2+7=0 has atleast two imaginary roots.

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  16. Solution set of x satisfying abs(x/(x-1))+absx=x^2/abs(x-1) is

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  17. Solve the equation abs(x-abs(4-x))-2x=4

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  18. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

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  19. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

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  20. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

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