Question

In the following exercises, solve.

$\sqrt{5v-2}+5=0$

Short answer

The given equation has no solution.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\sqrt{5v-2}+5=0$

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{5v-2}=-5$

For all real value of $x,\sqrt{x}\ge 0$.

In other words, a radical value cannot be equal to a negative value.

So, $\sqrt{5v-2}\ne -5$for any real value of $v$.

Step 3. Conclusion.

The given equation has no solution.