The equation 3√x-k-2=10 has a solution of x = 5. What is the value of k?

The value of k is - 11.

Step-by-step explanation:

Given equation is 3√ (x-k) - 2=10

Step 1: Since the value of x = 5, we will substitute value of x in the given equation.

3√ (5-k) - 2=10

=> 3√ (5-k) = 10 + 2

=> 3√ (5-k) = 12

Step 2: Dividing both sides by 3

3√ (5-k) / 3 = 12/3

√ (5-k) = 4

Step 3 : Squaring both sides

√ (5-k) ^2 = 4^2

(5-k) = 16

Step 4 : Separating the value of

=> 5-16 = k

=> - 11 = k

=> k = - 11

Therefore, the value of k is - 11.

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