Question
Solve the equation
x1=−7477861,x2=7477861
Alternative Form
x1≈−2.386338,x2≈2.386338
Evaluate
7x4=227
Divide both sides
77x4=7227
Divide the numbers
x4=7227
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±47227
Simplify the expression
More Steps

Evaluate
47227
To take a root of a fraction,take the root of the numerator and denominator separately
474227
Multiply by the Conjugate
47×4734227×473
Simplify
47×4734227×4343
Multiply the numbers
More Steps

Evaluate
4227×4343
The product of roots with the same index is equal to the root of the product
4227×343
Calculate the product
477861
47×473477861
Multiply the numbers
More Steps

Evaluate
47×473
The product of roots with the same index is equal to the root of the product
47×73
Calculate the product
474
Reduce the index of the radical and exponent with 4
7
7477861
x=±7477861
Separate the equation into 2 possible cases
x=7477861x=−7477861
Solution
x1=−7477861,x2=7477861
Alternative Form
x1≈−2.386338,x2≈2.386338
Show Solution
