Prove that x=√-5x-6 has no solution.
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the equation:
x=√-5x-6
Prove that the given equation has no solution.
Explanation:
The given equation has no solution, since the equation is composed of negative values. We know that negative numbers cannot be squared, since any number that is raised to 2 or squared cannot result to a negative number, due to the fact the similar signs will result to a positive number. Hence, taking the square root of a negative number, will result to an imaginary number or a complex number, which can be denoted by the sign i.