sqrt(sqrt[4](x)+7)+sqrt(x)-7=0

To solve the equation , we can start by isolating one of the square roots. Let's isolate : Now, square both sides to eliminate the square root:\( \sqrt[4]{x}+7 = (\sqrt{x}-7)^2 \) Next, let's isolate : Now, raise both sides to the power of 4 to eliminate the fourth root:\( x = (x-14\sqrt{x}+42)^4 \)This equation is quite complex to solve directly. However, we can try to find a solution by substituting some values for and checking if they satisfy the equation.Let's try : So, is not a solution.Let's try : So, is not a solution.Let's try : So, is a solution.Therefore, the solution to the equation is .