Math, asked by Ayantika0408, 9 months ago

if both the roots of the equation x2+bx+b=0 are the roots of the equation x3+3x2+3x+2=0. find b​

Answers

Answered by Tanveer1847
21

Step-by-step explanation:

It is given that the roots are −1,2+

3

,2−

3

Hence the cubic equation is

(x+1)(x−(2−

3

))(x−(2+

3

))=0

(x+1)(x

2

−(2−

3

+2+

3

)x+(2−

3

)(2+

3

)=0

(x+1)(x

2

−4x+(4−3))=0

(x+1)(x

2

−4x+1)=0

x

3

−4x

2

+x+x

2

−4x+1=0

x

3

−3x

2

−3x+1=0

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