Solve for all values of x: sqrt (x)-5=sqrt (x+10) Answer Attemptiout of 2 (4) Additional Solution x=

To solve the equation $\sqrt{x} - 5 = \sqrt{x+10}$, we can start by isolating one of the square roots.<br /><br />First, let's isolate $\sqrt{x}$ on one side of the equation:<br /><br />$\sqrt{x} - 5 = \sqrt{x+10}$<br />$\sqrt{x} = \sqrt{x+10} + 5$<br /><br />Next, we can square both sides of the equation to eliminate the square roots:<br /><br />$(\sqrt{x})^2 = (\sqrt{x+10} + 5)^2$<br />$x = (x+10) + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} + 25$<br />$x = x + 10 + 10\sqrt{x+10} +