Question
Factor the expression
2(37x3−1)
Evaluate
74x3−2
Solution
2(37x3−1)
Show Solution

Find the roots
x=3731369
Alternative Form
x≈0.3001
Evaluate
74x3−2
To find the roots of the expression,set the expression equal to 0
74x3−2=0
Move the constant to the right-hand side and change its sign
74x3=0+2
Removing 0 doesn't change the value,so remove it from the expression
74x3=2
Divide both sides
7474x3=742
Divide the numbers
x3=742
Cancel out the common factor 2
x3=371
Take the 3-th root on both sides of the equation
3x3=3371
Calculate
x=3371
Solution
More Steps

Evaluate
3371
To take a root of a fraction,take the root of the numerator and denominator separately
33731
Simplify the radical expression
3371
Multiply by the Conjugate
337×33723372
Simplify
337×337231369
Multiply the numbers
More Steps

Evaluate
337×3372
The product of roots with the same index is equal to the root of the product
337×372
Calculate the product
3373
Reduce the index of the radical and exponent with 3
37
3731369
x=3731369
Alternative Form
x≈0.3001
Show Solution
