Question
Solve the equation
x1=−34675,x2=34675
Alternative Form
x1≈−1.699044,x2≈1.699044
Evaluate
3x4=25
Divide both sides
33x4=325
Divide the numbers
x4=325
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4325
Simplify the expression
More Steps

Evaluate
4325
To take a root of a fraction,take the root of the numerator and denominator separately
43425
Simplify the radical expression
More Steps

Evaluate
425
Write the number in exponential form with the base of 5
452
Reduce the index of the radical and exponent with 2
5
435
Multiply by the Conjugate
43×4335×433
Simplify
43×4335×427
Multiply the numbers
More Steps

Evaluate
5×427
Use na=mnam to expand the expression
452×427
The product of roots with the same index is equal to the root of the product
452×27
Calculate the product
4675
43×4334675
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
34675
x=±34675
Separate the equation into 2 possible cases
x=34675x=−34675
Solution
x1=−34675,x2=34675
Alternative Form
x1≈−1.699044,x2≈1.699044
Show Solution
