Question

If A = { x : x ∈ N } and B = {x : x∈ N , x 2 +4 x−5=0} , then find A ∩ B​

Answer 1

Step-by-step explanation:

A = {x : x ∈ N}

A = {1,2,3,4,...}

B = {x : x ∈ N, x^2 + 4x - 5 = 0}

In x^2 + 4x - 5 =0,

Sum = 4

Product = -5

Solutions are 5,-1

x^2 + 5x - x - 5 = 0

(x^2 - x) + (5x - 5) = 0

x(x-1) + 5(x-1) = 0

(x+5)(x-1) = 0

x = -5,1

As -5 is not a natural no.,

∴ B = {1}

A ∩ B = {1}

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