Question
Solve the equation
x1=−2440,x2=2440
Alternative Form
x1≈−1.257433,x2≈1.257433
Evaluate
2x4=5
Divide both sides
22x4=25
Divide the numbers
x4=25
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±425
Simplify the expression
More Steps

Evaluate
425
To take a root of a fraction,take the root of the numerator and denominator separately
4245
Multiply by the Conjugate
42×42345×423
Simplify
42×42345×48
Multiply the numbers
More Steps

Evaluate
45×48
The product of roots with the same index is equal to the root of the product
45×8
Calculate the product
440
42×423440
Multiply the numbers
More Steps

Evaluate
42×423
The product of roots with the same index is equal to the root of the product
42×23
Calculate the product
424
Reduce the index of the radical and exponent with 4
2
2440
x=±2440
Separate the equation into 2 possible cases
x=2440x=−2440
Solution
x1=−2440,x2=2440
Alternative Form
x1≈−1.257433,x2≈1.257433
Show Solution
