Home > Algebra > Equations with Variables on Both Sides

How do you solve #8t ^ { 3} = 200t#?

Answer 1

t = 0, +5 and -5.

#8t^3 - 200t = 0# or, #8t(t^2 - 25) = 0# or, #8t = 0 and (t^2 - 25) = 0# or, #t = 0/8 = 0 and t^2 = 25 or,t = 25^(1/2)# or, #t = 0, +5 and -5#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

To solve the equation 8t^3 = 200t, you can begin by dividing both sides of the equation by t to isolate the variable:

8t^3 / t = 200t / t

This simplifies to:

8t^2 = 200

Now, divide both sides by 8:

8t^2 / 8 = 200 / 8

t^2 = 25

Take the square root of both sides to solve for t:

√(t^2) = √25

t = ±5

So, the solutions for the equation 8t^3 = 200t are t = 5 and t = -5.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.