The roots of the equation
They are called the "solutions" of the equation.
It is the solution or sometimes solutions when an equation or a problem has been solved.
Either "roots" or "solutions".
hi
Yes. Quite often, if you don't, you'll lose solutions. That is, the transformed equation - after taking square roots - will have less solutions than the original equation.
They are called the "solutions" of the equation.
It is the solution or sometimes solutions when an equation or a problem has been solved.
Yes, that is often possible. It depends on the equation, of course - some equations have no solutions.
They are called the solutions or roots of the equations.
Either "roots" or "solutions".
hi
It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.
solution
An identity equation has infinite solutions.
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.
Yes. Quite often, if you don't, you'll lose solutions. That is, the transformed equation - after taking square roots - will have less solutions than the original equation.