Question

Is set C = { x : x – 5 = 0} and E = {x : x is an integral positive root of the equation x2 – 2x – 15 = 0} are equal? Justify your answer.​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Given sets are

C = {x: x - 5 = 0} = {5}

E = {x: x is an integral positive root of the equation x² - 2x - 15 = 0}

Consider,

x² - 2x - 15 = 0

=> x² - 5x + 3x - 15 = 0

=> x(x - 5) + 3(x - 5) = 0

=> (x - 5)(x + 3) = 0

=> x = 5, -3

Since -3 is negative

∴ -3 ∉ E

So E = {5}

∴ C = E

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