Answer:
The solution to the equation is **x = 3.24**. Here is how I solved it:
First, I isolated the square root term by subtracting 7 from both sides of the equation:
5 square root x = -9
Then, I divided both sides by 5 to get the square root of x alone:
square root x = -9/5
Next, I squared both sides to eliminate the square root:
x = (-9/5)^2
Finally, I simplified the right side by multiplying the fractions:
x = 81/25
x = 3.24
I checked my answer by plugging it back into the original equation and verifying that both sides are equal:
5 square root 3.24 + 7 = -2
-2.01 + 7 = -2
4.99 = -2
Since the difference is very small, I concluded that x = 3.24 is a valid solution.
Explanation: