Why squaring both sides of a radical equation is an irreversible operation?
1 Answer
See explanation...
Explanation:
Given an equation to solve of the form:
#"left hand expression " = " right hand expression"#
we may attempt to simplify the problem by applying the same function
#f(" left hand expression ") = f(" right hand expression ")#
Any solution of the original equation will be a solution of this new equation.
However, note that any solution of the new equation may or may not be a solution of the original one.
If
In the case of
For example, given:
#sqrt(2x+1) = -sqrt(x+3)#
We can square both sides of the equation to get:
#2x+1 = x+3#
This new equation has solution