If you found the value of x that is a solution to an equation, you want to substitute that value back into the original equation, to check that it indeed satisfies the equation. If it does not satisfy the equation, then you made an error in your calculations, and you need to rework the problem.
For example: | x | = -1 Or any other equation where the absolute value of any expression is negative. This doesn't have a solution, because the absolute number of any expression is always positive, or zero, never negative.
Any number that makes an equation true is a 'solution of an equation'. it is a solution
Definitely.The equation [ x^2 = 4 ] has two solutions.x = +2x = -2The square root of any number can be a positive number or its negative. The solution for a quadratic equation often has two different values. However having two different values is still a single solution.
Such a value is said to be a solution, or a root, of the equation.
not always but most of the time yes
Without any equality sign the given terms of an expression can't be classed as an equation and so therefore no answer or solution is not possible.
to find a linear equation the roots must have been given in the question. to check whether its correct or not use this method. x2-(SOR)x+POR=0. SOR = sum of roots, POR = product of roots. if your SOR and POR is similar to your final answer, then the solution is correct
The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions.
Without any equality and not knowing the plus or minus values of 1 and 45 it is not an equation so therefore it has no solution.
No. The equation describes a straight line and the coordinates of any one of the infinitely many points on the line is a solution.
The solution.
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.