Answer:
The value of k is -11.
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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