Question
Solve the equation
x1=−34702,x2=34702
Alternative Form
x1≈−1.715786,x2≈1.715786
Evaluate
52=6x4
Swap the sides of the equation
6x4=52
Divide both sides
66x4=652
Divide the numbers
x4=652
Cancel out the common factor 2
x4=326
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4326
Simplify the expression
More Steps

Evaluate
4326
To take a root of a fraction,take the root of the numerator and denominator separately
43426
Multiply by the Conjugate
43×433426×433
Simplify
43×433426×427
Multiply the numbers
More Steps

Evaluate
426×427
The product of roots with the same index is equal to the root of the product
426×27
Calculate the product
4702
43×4334702
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
34702
x=±34702
Separate the equation into 2 possible cases
x=34702x=−34702
Solution
x1=−34702,x2=34702
Alternative Form
x1≈−1.715786,x2≈1.715786
Show Solution
