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If the cubic 2x^3-9x^2+12 x+k=0 has two...

If the cubic `2x^3-9x^2+12 x+k=0` has two equal roots then minimum value of `|k|` is______.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Express each one of the following in the standard form a+i bdot (5+...

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  3. If the cubic 2x^3-9x^2+12 x+k=0 has two equal roots then minimum valu...

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  4. If z=4+isqrt(7) , then find the value of z^2-4z^2-9z+91.

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  5. If the quadratic equation4x^2-2(a+c-1)x+a c-b=0(a > b > c) (a...

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  6. If (a+b)-i(3a+2b)=5+2i , then find a a n d bdot

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  7. If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...

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  8. Given that x, y in R. Solve: x/(1+2i)+y/(3+2i)=(5+6i)/(8i-1)

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  9. If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0...

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  10. If P(x) is a polynomial with integer coefficients such that for 4 dist...

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  11. Let x ,y ,z ,t be real numbers x^2+y^2=9, z^2+t^2=4, and xt-y z=6 Th...

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  12. If a ,b ,c are distinct positive numbers, then the nature of roots of ...

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  15. Find the number of integal values of x satisfying sqrt(-x^2+10x-16)...

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  16. If x^(2) +ax - 3x-(a+2) = 0 has real and distinct roots, then minimum ...

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  17. Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...

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  18. In equation x^4-2x^3+4x^2+6x-21=0 if two its roots are equal in magn...

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  19. If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, t...

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  20. The equation x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in com...

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