Solve: 1 + sqrt (6 -n) = 3
a) (-2)
b) none or 0
c) (2)
d) (2,-2)''.
c
1 + √(6-n) = 3
√(6-n) = 2
square both sides
6-n = 4
-n = -2
n = 2
thanks
To solve the equation 1 + sqrt(6 - n) = 3, follow these steps:
Step 1: Start by isolating the square root term by subtracting 1 from both sides of the equation:
1 + sqrt(6 - n) - 1 = 3 - 1
sqrt(6 - n) = 2
Step 2: Square both sides of the equation to eliminate the square root:
(sqrt(6 - n))^2 = 2^2
6 - n = 4
Step 3: Now, isolate the variable "n" by subtracting 6 from both sides of the equation:
6 - n - 6 = 4 - 6
-n = -2
Step 4: To express "n" as a positive value, multiply both sides of the equation by -1:
-n * (-1) = -2 * (-1)
n = 2
Therefore, the solution to the equation 1 + sqrt(6 - n) = 3 is n = 2.
So, the correct option would be c) (2).