Question

Solve:$\sqrt{7s-3}+2=0$.

Short answer

The equation has no solution.

Step-by-step solution

Step 1. Given Information 

We are given the quadratic equation$\sqrt{7s-3}+2=0$ and we need to solve it.

Step 2. Finding the solution 

Isolating the radical on one side of the equation:

$$\begin{gathered} \sqrt{7s-3}+2=0 \\ \Rightarrow \sqrt{7s-3}+2-2=-2 \\ \Rightarrow \sqrt{7s-3}=-2 \end{gathered}$$

Since the square root is equal to a negative number, the equation has no solution.