Exercise

$\frac{x-4}{\sqrt{x}}=0$

Step-by-step Solution

1

Multiply both sides of the equation by $\sqrt{x}$

$x-4=0\sqrt{x}$
2

Any expression multiplied by $0$ is equal to $0$

$x-4=0$
3

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-4$ from both sides of the equation

$x=4$

Verify that the solutions obtained are valid in the initial equation

4

The valid solutions to the equation are the ones that, when replaced in the original equation, don't result in any square root of a negative number and make both sides of the equation equal to each other

The equation has no solutions.

Final answer to the exercise

The equation has no solutions.

Try other ways to solve this exercise

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