Question
Solve the equation
x1=−24280,x2=24280
Alternative Form
x1≈−2.045312,x2≈2.045312
Evaluate
35=2x4
Swap the sides of the equation
2x4=35
Divide both sides
22x4=235
Divide the numbers
x4=235
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4235
Simplify the expression
More Steps

Evaluate
4235
To take a root of a fraction,take the root of the numerator and denominator separately
42435
Multiply by the Conjugate
42×423435×423
Simplify
42×423435×48
Multiply the numbers
More Steps

Evaluate
435×48
The product of roots with the same index is equal to the root of the product
435×8
Calculate the product
4280
42×4234280
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
24280
x=±24280
Separate the equation into 2 possible cases
x=24280x=−24280
Solution
x1=−24280,x2=24280
Alternative Form
x1≈−2.045312,x2≈2.045312
Show Solution
