Question
Solve the equation
x=2346
Alternative Form
x≈1.791524
Evaluate
x2×8x−46=0
Multiply
More Steps

Evaluate
x2×8x
Multiply the terms with the same base by adding their exponents
x2+1×8
Add the numbers
x3×8
Use the commutative property to reorder the terms
8x3
8x3−46=0
Move the constant to the right-hand side and change its sign
8x3=0+46
Removing 0 doesn't change the value,so remove it from the expression
8x3=46
Divide both sides
88x3=846
Divide the numbers
x3=846
Cancel out the common factor 2
x3=423
Take the 3-th root on both sides of the equation
3x3=3423
Calculate
x=3423
Solution
More Steps

Evaluate
3423
To take a root of a fraction,take the root of the numerator and denominator separately
34323
Multiply by the Conjugate
34×342323×342
Simplify
34×342323×232
Multiply the numbers
More Steps

Evaluate
323×232
Multiply the terms
346×2
Use the commutative property to reorder the terms
2346
34×3422346
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
222346
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2346
x=2346
Alternative Form
x≈1.791524
Show Solution
