Solve each equation for the specified variable. (Assume no den...

Question

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8.

$r = r_{0} + (\frac{1}{2}) a t^{2}$ , for t

Accepted Answer

Hey, everyone here we are asked to solve for G in the following equation, C sub two is equal to C sub one plus M times G squared. So now to solve for G, we need to isolate G on one side of the equation. So we first need to move this C sub one from the right side to the left side. And we do this by subtracting C sub one from both sides of our equation. So now we will have C sub two minus C sub one is equal to M times G squared. So now we need to get rid of this coefficient for G which is M and we do this by dividing both sides of our equation by M. So with this, we have G squared is equal to the quantity of C sub two minus C sub one divided by M. And now we see that the G term is squared. So we need to get rid of the square and to undo a squared term, we take the square root of both sides of our equation. But since we are taking the square root of the rights side here, we need to add this plus or minus in front of it. So we see that G alone is equal to plus or minus the square root of the quantity of C sub two minus C sub one divided by M. So with this, we have found the, we have solved for G from our original equation and there aren't any other simplifications that we can make. So this is our final solution here, which is answer choice B Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8.
$r = r_{0} + (\frac{1}{2}) a t^{2}$ , for t

Key Concepts

Solving Equations for a Specific Variable

Handling Fractions in Algebraic Equations

Quadratic Expressions and Square Roots

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