DIVIDE BY ZERO ERROR
Is an equation with no solution's answer.
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It also depends on the domain of the variable(s).
For example
x + 3 = 2 has no solution if the domain for x is the counting numbers, Z.
x*3 = 2 has no solution if the domain for x is the natural numbers, N.
x2 = 2 has no solution if the domain for x is the rational numbers, Q.
x2 = -2 has no solution if the domain for x is the real numbers, R.
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That depends on the equation.
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
The coordinates of every point on the graph, and no other points, are solutions of the equation.
The roots of the equation
If the equation is an identity.