Question

x^5-6x^4+11x^3-6x^2=0
how solve this??​

Answer 1

Answer:

Given U={x∣x

5

−6x

4

+11x

3

−6x

2

=0}

x

5

−6x

4

+11x

3

−6x

2

=0

x

2

(x

3

−6x

2

+11x−6)=0

x

2

(x

2

−5x+6)(x−1)=0

x

2

(x−3)(x−2)(x−1)=0

Hence U={0,1,2,3}

A={x∣x

2

−5x+6=0}

x

2

−5x+6=0

(x−3)(x−2)=0

Hence A={2,3}

B={x∣x

2

−3x+2=0}

x

2

−3x+2=0

(x−2)(x−1)=0

B={1,2}

A∩B={2}

(A∩B)

′

={0,1,3}