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If(x) =ax^4=bx^3+cx^2+dx+e(a,b,c,d,eER 0) such that f(1)+f(2) = f(2)+f(3) =f(3)+f(4)=0, then equation f(x)=0 have 1 all roots non real 2. two real and two non real roots 3 all four roots are real & equal 4 all four roots are real and distinct

If(x) =ax^4=bx^3+cx^2+dx+e(a,b,c,d,eER0) such that f(1)+f(2) = f(2)+f(3) =f(3)+f(4)=0, then equation f(x)=0 have
1  all roots non real
2. two real and two non real roots
3 all four roots are real & equal
4 all four roots are real and distinct
 

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
2 years ago

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