Question
Solve the equation
x1=−54250,x2=54250
Alternative Form
x1≈−0.795271,x2≈0.795271
Evaluate
5x4=2
Divide both sides
55x4=52
Divide the numbers
x4=52
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±452
Simplify the expression
More Steps

Evaluate
452
To take a root of a fraction,take the root of the numerator and denominator separately
4542
Multiply by the Conjugate
45×45342×453
Simplify
45×45342×4125
Multiply the numbers
More Steps

Evaluate
42×4125
The product of roots with the same index is equal to the root of the product
42×125
Calculate the product
4250
45×4534250
Multiply the numbers
More Steps

Evaluate
45×453
The product of roots with the same index is equal to the root of the product
45×53
Calculate the product
454
Reduce the index of the radical and exponent with 4
5
54250
x=±54250
Separate the equation into 2 possible cases
x=54250x=−54250
Solution
x1=−54250,x2=54250
Alternative Form
x1≈−0.795271,x2≈0.795271
Show Solution
