Question
Solve the equation
x=234
Alternative Form
x≈0.793701
Evaluate
x2×6x−3=0
Multiply
More Steps

Evaluate
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3−3=0
Move the constant to the right-hand side and change its sign
6x3=0+3
Removing 0 doesn't change the value,so remove it from the expression
6x3=3
Divide both sides
66x3=63
Divide the numbers
x3=63
Cancel out the common factor 3
x3=21
Take the 3-th root on both sides of the equation
3x3=321
Calculate
x=321
Solution
More Steps

Evaluate
321
To take a root of a fraction,take the root of the numerator and denominator separately
3231
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
234
x=234
Alternative Form
x≈0.793701
Show Solution
