isolate(eqn,expr) rearranges the equation eqn so that the expression expr appears on the left side. The an outcome is comparable to solving eqn because that expr. If isolate cannot isolate expr, that moves every terms comprise expr to the left side. The calculation of isolate allows you remove expr from eqn by using subs.

You are watching: What does isolate mean in math

You deserve to use the output of isolation to eliminate the change from the equation utilizing subs.

Eliminate x indigenous eqn by substituting lhs(xSol) for rhs(xSol).

### isolate Returns easiest Solution

for equations with multiple solutions, isolate returns the most basic solution.

Demonstrate this habits by isolating x in sin(x) == 0, which has multiple remedies at 0, pi, 3*pi/2, and also so on.

isolate does not think about special cases when return the solution. Instead, isolate returns a general solution that is no guaranteed to host for all values of the variables in the equation.

Isolate x in the equation a*x^2/(x-a) == 1. The reverted value of x walk not host in the special case a = 0.

### isolate Follows presumptions on Variables

isolation returns just results the are constant with the presumptions on the variables in the equation.

First, i think x is negative, and also then isolate x in the equation x^4 == 1.

If eqn has no solution, isolate errors. Isolate also ignores distinct cases. If the only solutions come eqn are special cases, then isolate ignores those one-of-a-kind cases and errors.

The returned solution is not guaranteed to host for all values of the variables in the solution.

expr can not be a mathematical continuous such together pi.

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