�ã x + 7 = 2 �ã x or sqrt x + 7 = 2 sqrt x
a) {3/7}
b) {0}
c)none
d) {7/3}
To find the solution to the given equation, we need to solve it step by step. Let's start with the equation:
x + 7 = 2x
1. Subtract x from both sides to isolate the variable on one side of the equation:
x - x + 7 = 2x - x
7 = x
So, the solution to the equation x + 7 = 2x is x = 7.
Now let's move on to the second equation:
√(x + 7) = 2√x
1. Square both sides of the equation to eliminate the square root (√) on the left side:
(√(x + 7))^2 = (2√x)^2
x + 7 = 4x
2. Subtract x from both sides:
x - x + 7 = 4x - x
7 = 3x
3. Divide both sides by 3 to solve for x:
7/3 = 3x/3
7/3 = x
So, the solution to the equation √(x + 7) = 2√x is x = 7/3.
Therefore, the correct answer is:
d) {7/3}