Here is an example: x + 5 = 5If you subtract five from both sides, you get x = 0, which is an example of getting 0 as a solution for an equation.
A solution to an question makes the equation true. For example a solution to the equation 3x = x + 6 is x = 3, since 3(3) = 3+6.
Yes and sometimes it can have more than one solution.
An equation may have zero, one, or more solutions (this is also true for a system of equations). The equation 2 + x = 5 has only solution, for example. x can only equal 3, so there is one solution. (An example of an equation with more that one solution is x2 = 4. In this case x can equal 2 or -2, so this equation has two solutions. An example of an equation with an infinite number of solutions is x + 6 = 3*2 + x. x can equal any number to make this equation true, so it has an infinite number of solutions. The equation x = x + 1 is an example of an equation with no solutions.)
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
a solution to an equation is the answer
Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.
Then it is not a solution of the original equation. It is quite common, when solving equations involving radicals, or even when solving equations with fractions, that "extraneous" solutions are added in the converted equation - additional solutions that are not solutions of the original equation. For example, when you multiply both sides of an equation by a factor (x-1), this is valid EXCEPT for the case that x = 1. Therefore, in this example, if x = 1 is a solution of the transformed equation, it may not be a solution to the original equation.
A solution is the answer to an equation.
An equation that has no solution is called an equation that has no solution.
If for example: 4y = 16 Then: y = 4
An algebraic equation has (at least one) variable, usually called x. To solve the equation means to figure out the value of x. For example, in the equation x + 4 = 7 the solution is x = 3, because 3 + 4 = 7.