Select all possible solutions to the equation (x - 5)² - 6 = 0.

The two possible solutions of the given quadratic equation are -x =  +√6 +5 and x =  -√6 +5What is defined as the solution of equation?Finding the value that a variable expresses is the process of solving an equation. The solution of the equation is the value that was discovered. The collection of all values which, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property as well as the multiplicative property are utilised to determine the solutions for equations having an unique unknown raised to a power of one.For the given question; (x - 5)² - 6 = 0Bring constant on other side. (x - 5)² = 6 Taking square root both side.√ (x - 5)² = √6 (x - 5) = ±√6 Separate the constant and variables.x =  ±√6 +5There are two possible solution.x =  +√6 +5 and x =  -√6 +5Thus, the two possible solutions of the given quadratic equation are -x =  +√6 +5 and x =  -√6 +5.To know more about the solution of equation, herehttps://brainly.com/question/17145398#SPJ13