How do you isolate this equation ?

Thread starter calcium12
Start date Mar 7, 2010

In summary, isolating a variable in an equation involves performing the same operation on both sides of the equation in order to solve for a specific variable. This can be useful in solving various mathematical and scientific problems. It is possible to isolate multiple variables in an equation, but this may result in multiple or no solutions. When isolating an equation, it is important to follow certain rules, such as using the correct order of operations and ensuring balance in the equation. There is no specific order in which to isolate variables, as it depends on the equation and the variable being solved for.

Mar 7, 2010

calcium12

Homework Statement

I am having trouble isolating this equations for time

d= V₁(t) - 0.5 (a) (t²)
2. The attempt at a solution

I get this:

d-0.5(a)(t²) = t
that is all over V₁

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Mar 7, 2010

lightgrav

Homework Helper

that's a quadratic equation in t;
it has two solutions for t , given by the "quadratic formula".

Related to How do you isolate this equation ?

1. How do you isolate a variable in an equation?

To isolate a variable in an equation, you need to perform the same operation on both sides of the equation. For example, if you have the equation 2x + 5 = 15, you can isolate x by subtracting 5 from both sides, leaving you with 2x = 10. Then, you can divide both sides by 2 to isolate x, giving you the answer x = 5.

2. What is the purpose of isolating an equation?

The purpose of isolating an equation is to solve for a specific variable. This allows you to find the value of that variable, which can be useful in many scientific and mathematical applications.

3. Can you isolate more than one variable in an equation?

Yes, it is possible to isolate multiple variables in an equation. However, this may result in an equation with multiple solutions or no solution at all. It is important to consider the context and application of the equation before attempting to isolate multiple variables.

4. Are there any rules for isolating an equation?

Yes, there are some rules to follow when isolating an equation. The most important rule is to perform the same operation on both sides of the equation. This ensures that the equation remains balanced and the variable is properly isolated. Additionally, it is important to use the correct order of operations when simplifying an equation.

5. Is there a specific order in which to isolate variables in an equation?

No, there is no specific order in which to isolate variables in an equation. The order in which you choose to isolate variables will depend on the specific equation and the variable you are solving for. It is important to carefully consider the equation and choose the most efficient method for isolating the variable.