Anonym

2021-09-18

The solution of the given equation.

$x+13=2x-13$

Velsenw

Skilled2021-09-19Added 91 answers

Key concepts used:

We will cute both sides to remove radicals and solve the equation for x.

Calculation:

The given equation:$x+13=2x-13$ . Taking cube of both sides, we get $(x+13)3=(2x-13)3[\because \left(a3\right)3=a]\Rightarrow x+1=2x-1\Rightarrow x=2$ . Thus, the possible solution is $x=2$ .

Let us now verify this solution. To check the solution. To check the solution, we need to substitute in the given equation. For$x=22+13=2\left(2\right)-13\Rightarrow 2+13=4-13\Rightarrow 33=33$ (True) So, for $x=2$ , the given equation is verified. Thus, the required solution is $x=2$ .

Conclusion:

We cubed the given equation. Then we got a linear equation. Finally, we solved this linear equation to get the values. Substituting the value in the given equation, we could identify the final solution which satisfied the given equation.

We will cute both sides to remove radicals and solve the equation for x.

Calculation:

The given equation:

Let us now verify this solution. To check the solution. To check the solution, we need to substitute in the given equation. For

Conclusion:

We cubed the given equation. Then we got a linear equation. Finally, we solved this linear equation to get the values. Substituting the value in the given equation, we could identify the final solution which satisfied the given equation.

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