sqrt() x + 7 = 2sqrt()x
a) {3/7}
b) {0}
c) {7/3}
d) 0
To solve the equation sqrt(x + 7) = 2sqrt(x), you need to isolate x. Here's how you can do it:
Step 1: Square both sides of the equation to eliminate the square root on the left side.
(sqrt(x + 7))^2 = (2sqrt(x))^2
(x + 7) = 4x
Step 2: Simplify the equation by combining like terms.
7 = 4x - x
7 = 3x
Step 3: Divide both sides of the equation by 3 to solve for x.
7/3 = x
So the solution to the equation is x = 7/3.
Therefore, the correct answer is c) {7/3}.