The complete procedure for solving an equation involving square roots, such as expressing the square root as a fractional power or using the quadratic formula, requires a well-formed equation, which in this case, is not provided in its entirety.
To solve an equation involving square roots and variables, such as √(53-7x)+x-9, we begin by isolating the variable on one side. However, the provided example is not complete and seems to be missing some operations or additional expressions to lead to a solvable equation. Therefore, without the complete equation, it is challenging to provide a step-by-step solution.
In general, for equations that are in the form of x² = √x, where the solution needs us to find a number that, when squared, yields the original value x, we can express the square root as a fractional power. For example, 5² = √5 simplifies to 5. Using the same logic as in the expression, xPx⁹ = x(p+q), we can add exponents when multiplying like bases.
Lastly, for more complex equations, such as quadratics, we may use the quadratic formula, which is √(b² - 4ac). When solving for x, we substitute the known values of a, b, and c to find the roots.