Question

Solve:$\sqrt{2r-3}+5=0$.

Short answer

The equation has no solution.

Step-by-step solution

Step 1. Given Information  

We are given the quadratic equation $\sqrt{2r-3}+5=0$and we need to solve it.

Step 2. Finding the solution  

Isolating the radical on one side of the equation:

$$\begin{gathered} \sqrt{2r-3}+5=0 \\ \Rightarrow \sqrt{2r-3}+5-5=-5 \\ \Rightarrow \sqrt{2r-3}=-5 \end{gathered}$$

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