Question

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

Answer 1

Answer:

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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