Math, asked by troyxeon206, 10 months ago

Let A= set of all rational numbers and B={ x:x square-4x+2=0}. Then find A-B, B-A and A union B

Answers

Answered by Agastya0606
1

Given:  A= set of all rational numbers and B={ x:x square-4x+2=0}.

To find: A-B, B-A and A union B

Solution:

  • The set B is x: x square-4x+2=0
  • Now we need to find the value of x, by finding roots.

                 x^2 - 4x + 2 = 0

                 x = 4 ± √16 - 8 / 2

                 x = 4 ± √8 / 2

                 x = 4 ± 2√2 / 2

                 x = 2 ± √2

  • So the value of x is 2 ± √2

                 A-B = { x: x belongs to Z }

                 B- A = { 2 ± √2 }

                 A ∪ B = { all rational numbers +  2 ± √2 }

Answer:

          So A-B = { x: x belongs to Z } , B- A = { 2 ± √2 }, A ∪ B = { all rational numbers +  2 ± √2 }

Answered by Jashanmankoo911
2

Answer:

Answer is in attechment.

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