sqrt() x + 7 = 2sqrt()x
a) {3/7}
b) {0}
c) {7/3}
d) 0
To solve the equation sqrt(x + 7) = 2sqrt(x), we need to isolate the variable x.
Here's how to do it step by step:
1. Start by squaring both sides of the equation to eliminate the square roots:
(sqrt(x + 7))^2 = (2sqrt(x))^2
Simplifying both sides, we get:
x + 7 = 4x
2. Next, subtract x from both sides of the equation:
x + 7 - x = 4x - x
Simplifying, we have:
7 = 3x
3. Now, divide both sides of the equation by 3 to solve for x:
7/3 = x
Hence, the solution to the equation sqrt(x + 7) = 2sqrt(x) is x = 7/3.
Therefore, the correct answer is c) {7/3}.