Extraneous Solution Definition Math

Solve for x 1 x 2 1 x 2 4 x 2 x 2.

Extraneous solution definition math. A solution of a simplified version of an equation that does not satisfy the original equation. An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. An extraneous solution is a valid solution to a mathematical problem obtained following the rules of mathematics but it isn t acceptable in terms of. Both are frequently the consequence of performing operations that are not invertible for some or all values of the variables which prevents the chain of logical implications in the proof.

Extraneous solutions are values that we get when solving equations that aren t really solutions to the equation. Extraneous solution is a solution of the simplified form of an equation that does not satisfy the original equation. They arise from outside the problem from the method of solution. Taks distance math problem venn diagram worksheet math simultaneous equation solver with complex numbers ti 84 how to work basic addition algebra fraction problems solving for roots free online solution mannual of introduction to statistical mechanics by salinas.

See full answer below. They are extraneous because they are not solutions of the original problem. In mathematics an extraneous solution is a solution such as that to an equation that emerges from the process of solving the problem but is not a valid solution to the problem. Two of the definitions of extraneous i found in a dictionary are not belonging or proper and existing or originating outside or beyond.

An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. A missing solution is a solution that is a valid solution to the problem but disappeared during the process of solving the problem. Watch out for extraneous solutions when solving equations with a variable in the denominator of a rational expression with a variable in the argument of a logarithm or a variable as the radicand in an nth root when n is an even number. Extraneous solutions are not solutions at all.