Question
Simplify the expression
3x3+2
Evaluate
3x3−33+3
Divide the terms
3x3−1+3
Solution
3x3+2
Show Solution

Find the roots
x=−3318
Alternative Form
x≈−0.87358
Evaluate
3x3−33+3
To find the roots of the expression,set the expression equal to 0
3x3−33+3=0
Divide the terms
More Steps

Evaluate
33
Reduce the numbers
11
Calculate
1
3x3−1+3=0
Add the numbers
3x3+2=0
Move the constant to the right-hand side and change its sign
3x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
3x3=−2
Divide both sides
33x3=3−2
Divide the numbers
x3=3−2
Use b−a=−ba=−ba to rewrite the fraction
x3=−32
Take the 3-th root on both sides of the equation
3x3=3−32
Calculate
x=3−32
Solution
More Steps

Evaluate
3−32
An odd root of a negative radicand is always a negative
−332
To take a root of a fraction,take the root of the numerator and denominator separately
−3332
Multiply by the Conjugate
33×332−32×332
Simplify
33×332−32×39
Multiply the numbers
More Steps

Evaluate
−32×39
The product of roots with the same index is equal to the root of the product
−32×9
Calculate the product
−318
33×332−318
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3−318
Calculate
−3318
x=−3318
Alternative Form
x≈−0.87358
Show Solution
