- #1
ytpj
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Homework Statement
[tex]\frac{2-x}{2+x}=t^3[/tex]
How to find x?
Answer is
[tex]x=\frac{2-2t^3}{1+t^3}[/tex]
ytpj said:[tex]\frac{2-x}{2+x}=t^3[/tex]
How to find x?
To solve for x, you need to isolate the variable on one side of the equation. This can be done by using algebraic operations such as addition, subtraction, multiplication, and division on both sides of the equation until x is by itself.
The order of operations for solving equations is PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This means you should always start by simplifying any expressions inside parentheses, then work on any exponents, followed by multiplication or division from left to right, and finally addition or subtraction from left to right.
If you have correctly solved for x, you can check your answer by substituting it back into the original equation. If both sides of the equation are equal, then you have found the correct value for x.
If you get a negative number for x, you may have made a mistake in your calculations. Double-check your work and make sure you are using the correct order of operations. If you are still getting a negative number, it could mean that there is no solution for x in the given equation.
Yes, you can still solve for x even if there are variables on both sides of the equation. The same principles of isolating the variable apply, but you may need to use additional algebraic operations to move terms from one side of the equation to the other until x is isolated.