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Let x(1),x(2),x(3),x(4) be the roots (re...

Let `x_(1),x_(2),x_(3),x_(4)` be the roots (real or complex) of the equation `x^(4)+ax^(3)+bx^(2)+cx+d=0.` If `x_(1)+x_(2)=x_(3)+x_(4)` and a,b,c,`d in R,` then
find the value of b-c

A

`(-oo,(1)/(4))`

B

`(-oo,3)`

C

`(-oo,1)`

D

`(-oo,4)`

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  19. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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