Question
Solve the equation
x1=−414841×413,x2=414841×413
Alternative Form
x1≈−2.128154,x2≈2.128154
Evaluate
841=x4×41
Use the commutative property to reorder the terms
841=41x4
Swap the sides of the equation
41x4=841
Divide both sides
4141x4=41841
Divide the numbers
x4=41841
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±441841
Simplify the expression
More Steps

Evaluate
441841
To take a root of a fraction,take the root of the numerator and denominator separately
4414841
Simplify the radical expression
More Steps

Evaluate
4841
Write the number in exponential form with the base of 29
4292
Reduce the index of the radical and exponent with 2
29
44129
Multiply by the Conjugate
441×441329×4413
Multiply the numbers
More Steps

Evaluate
29×4413
Use na=mnam to expand the expression
4292×4413
The product of roots with the same index is equal to the root of the product
4292×413
Calculate the product
4841×413
441×44134841×413
Multiply the numbers
More Steps

Evaluate
441×4413
The product of roots with the same index is equal to the root of the product
441×413
Calculate the product
4414
Reduce the index of the radical and exponent with 4
41
414841×413
x=±414841×413
Separate the equation into 2 possible cases
x=414841×413x=−414841×413
Solution
x1=−414841×413,x2=414841×413
Alternative Form
x1≈−2.128154,x2≈2.128154
Show Solution
