if the roots of the equation 4xcube-12xsquare+11x+k=0 are inA.P.Then find K value
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4x^3'-12x^2+11x+k =0
- (x+y+z)= -b/a = -(-12/4)= 12/4 = 3
- in Ap, 2y=x+z
- x+y+z=3
- y+2y=3
- 3y=3y
- y=1
- put f(1)=0
- then we get ; 4-12+11+k=0
- 4-1+k=0
- 3+k=0
- k=-3
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Answer:
Step-by-step explanation:
4x^3'-12x^2+11x+k =0
(x+y+z)= -b/a = -(-12/4)= 12/4 = 3
in Ap, 2y=x+z
x+y+z=3
y+2y=3
3y=3y
y=1
put f(1)=0
then we get ; 4-12+11+k=0
4-1+k=0
3+k=0
k=-3
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