The equation 3√x-k-2=10 has a solution of x = 5. What is the value of k?
Accepted Solution
A:
Answer:The value of k is -11.Step-by-step explanation:Given equation is 3√(x-k)-2=10Step 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) = 12Step 2: Dividing both sides by 33√(5-k)/3 = 12/3√(5-k) = 4Step 3 : Squaring both sides√(5-k)^2 = 4^2(5-k) = 16Step 4 : Separating the value of=> 5-16 = k=> -11 = k=> k = -11Therefore, the value of k is -11.!!