Question
Solve the equation
u=234
Alternative Form
u≈0.793701
Evaluate
2u2×u−1=0
Multiply
More Steps

Evaluate
2u2×u
Multiply the terms with the same base by adding their exponents
2u2+1
Add the numbers
2u3
2u3−1=0
Move the constant to the right-hand side and change its sign
2u3=0+1
Removing 0 doesn't change the value,so remove it from the expression
2u3=1
Divide both sides
22u3=21
Divide the numbers
u3=21
Take the 3-th root on both sides of the equation
3u3=321
Calculate
u=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
u=234
Alternative Form
u≈0.793701
Show Solution
