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If equation x^4-(3m+2)x^2+m^2=0(m >0) ha...

If equation `x^4-(3m+2)x^2+m^2=0(m >0)` has four real solutions which are in A.P., then the value of `m` is______.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If f(x)=x^3+b x^2+c x+d and f(0),f(-1) are odd integers, prove that f...

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  2. If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

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  3. If equation x^4-(3m+2)x^2+m^2=0(m >0) has four real solutions which ar...

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  4. Number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is a pri...

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  5. If set of values a for which f(x)=a x^2-(3+2a)x+6, a!=0 is positive fo...

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  6. Polynomial P(x) contains only terms of odd degree. when P(x) is divide...

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  7. If the equation 2x^2+4x y+7y^2-12 x-2y+t=0, where t is a parameter has...

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  8. Let alpha1,beta1 be the roots x^2-6x+p=0a n d alpha2,beta2 be the root...

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  9. If sqrt(sqrt(sqrt(x)))=(3x^4+4)^(1/64), then the value of x^4 is.

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  10. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1,P(2)=8...

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  11. If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negati...

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  12. Given alphaa n dbeta are the roots of the quadratic equation x^2-4x+k...

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  13. If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real value...

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  14. If cos^4theta+alpha and sin^4theta+alpha are the roots of the equation...

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

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  16. If a ,b ,c in R a n d a b c<0 , then equation b c x^2+(2b+c-a)x+a...

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  17. For the quadratic equation x^2+2(a+1)x+9a-5=0, which of the following ...

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  18. Let P(x)=x^2+b x+cw h e r eba n dc are integer. If P(x) is a factor ...

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  19. If |a x^2+b x+c|lt=1 for all x in [0, 1], then a.|a|lt=8 b. |b|>8 ...

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  20. Let f(x)=a x^2+b x+cdot Consider the following diagram. Then Fig c<0...

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