Question
Solve the equation
x=232
Alternative Form
x≈0.629961
Evaluate
x2×4x=1
Multiply
More Steps

Evaluate
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
4x3=1
Divide both sides
44x3=41
Divide the numbers
x3=41
Take the 3-th root on both sides of the equation
3x3=341
Calculate
x=341
Solution
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22232
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
232
x=232
Alternative Form
x≈0.629961
Show Solution
