Question

If the roots of 4x3-12x2 +11x + k = 0 are in A.P, then k = ​

Answer 1

Hence k will be 15

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Answer 2

Sum of roots =12/4 = 3

(a-d)+(a)+(a+d)

3a=3

a=1

a(a-d)+a(a+d)+(a-d)(a+d)=11/4

=2a² +a² - d² =2.75

=3a² - d² =2.75

=3-d² =11/4

=d² =3–11/4=1/4

=d=±1/2

Hence roots are 1/2,1,3/2

So product of roots is 3/4

-k/4=3/4

k=-3