Question
Solve the equation
Solve for x
Solve for t
t=0,x=−∣t∣4671t3t=0,x=∣t∣4671t3
Evaluate
44×61=tx4×4
Multiply the numbers
2684=tx4×4
Use the commutative property to reorder the terms
2684=4tx4
Swap the sides of the equation
4tx4=2684
Divide both sides
4t4tx4=4t2684
Divide the numbers
x4=4t2684
Cancel out the common factor 4
x4=t671
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4t671
Simplify the expression
More Steps

Evaluate
4t671
To take a root of a fraction,take the root of the numerator and denominator separately
4t4671
Multiply by the Conjugate
4t×4t34671×4t3
Calculate
∣t∣4671×4t3
The product of roots with the same index is equal to the root of the product
∣t∣4671t3
x=±∣t∣4671t3
Separate the equation into 2 possible cases
x=∣t∣4671t3x=−∣t∣4671t3
Calculate
{t=0x=−∣t∣4671t3{t=0x=∣t∣4671t3
Solution
t=0,x=−∣t∣4671t3t=0,x=∣t∣4671t3
Show Solution
