Question
Solve the equation
x1=−524125,x2=524125
Alternative Form
x1≈−1.337481,x2≈1.337481
Evaluate
5x3×x=16
Multiply
More Steps

Evaluate
5x3×x
Multiply the terms with the same base by adding their exponents
5x3+1
Add the numbers
5x4
5x4=16
Divide both sides
55x4=516
Divide the numbers
x4=516
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4516
Simplify the expression
More Steps

Evaluate
4516
To take a root of a fraction,take the root of the numerator and denominator separately
45416
Simplify the radical expression
More Steps

Evaluate
416
Write the number in exponential form with the base of 2
424
Reduce the index of the radical and exponent with 4
2
452
Multiply by the Conjugate
45×4532453
Simplify
45×45324125
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
524125
x=±524125
Separate the equation into 2 possible cases
x=524125x=−524125
Solution
x1=−524125,x2=524125
Alternative Form
x1≈−1.337481,x2≈1.337481
Show Solution
