Question
Solve the equation
x=14328
Alternative Form
x≈0.216899
Evaluate
7x2×14x−1=0
Multiply
More Steps

Evaluate
7x2×14x
Multiply the terms
98x2×x
Multiply the terms with the same base by adding their exponents
98x2+1
Add the numbers
98x3
98x3−1=0
Move the constant to the right-hand side and change its sign
98x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
98x3=1
Divide both sides
9898x3=981
Divide the numbers
x3=981
Take the 3-th root on both sides of the equation
3x3=3981
Calculate
x=3981
Solution
More Steps

Evaluate
3981
To take a root of a fraction,take the root of the numerator and denominator separately
39831
Simplify the radical expression
3981
Multiply by the Conjugate
398×39823982
Simplify
398×39827328
Multiply the numbers
More Steps

Evaluate
398×3982
The product of roots with the same index is equal to the root of the product
398×982
Calculate the product
3983
Reduce the index of the radical and exponent with 3
98
987328
Cancel out the common factor 7
14328
x=14328
Alternative Form
x≈0.216899
Show Solution
