Question
Solve the equation
t=103350
Alternative Form
t≈1.105209
Evaluate
5t2×12t−81=0
Multiply
More Steps

Evaluate
5t2×12t
Multiply the terms
60t2×t
Multiply the terms with the same base by adding their exponents
60t2+1
Add the numbers
60t3
60t3−81=0
Move the constant to the right-hand side and change its sign
60t3=0+81
Removing 0 doesn't change the value,so remove it from the expression
60t3=81
Divide both sides
6060t3=6081
Divide the numbers
t3=6081
Cancel out the common factor 3
t3=2027
Take the 3-th root on both sides of the equation
3t3=32027
Calculate
t=32027
Solution
More Steps

Evaluate
32027
To take a root of a fraction,take the root of the numerator and denominator separately
320327
Simplify the radical expression
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
3203
Multiply by the Conjugate
320×320233202
Simplify
320×32023×2350
Multiply the numbers
320×32026350
Multiply the numbers
More Steps

Evaluate
320×3202
The product of roots with the same index is equal to the root of the product
320×202
Calculate the product
3203
Reduce the index of the radical and exponent with 3
20
206350
Cancel out the common factor 2
103350
t=103350
Alternative Form
t≈1.105209
Show Solution
