Question
Solve the equation
x=233
Alternative Form
x≈2.884499
Evaluate
x2×2x−48=0
Multiply
More Steps

Evaluate
x2×2x
Multiply the terms with the same base by adding their exponents
x2+1×2
Add the numbers
x3×2
Use the commutative property to reorder the terms
2x3
2x3−48=0
Move the constant to the right-hand side and change its sign
2x3=0+48
Removing 0 doesn't change the value,so remove it from the expression
2x3=48
Divide both sides
22x3=248
Divide the numbers
x3=248
Divide the numbers
More Steps

Evaluate
248
Reduce the numbers
124
Calculate
24
x3=24
Take the 3-th root on both sides of the equation
3x3=324
Calculate
x=324
Solution
More Steps

Evaluate
324
Write the expression as a product where the root of one of the factors can be evaluated
38×3
Write the number in exponential form with the base of 2
323×3
The root of a product is equal to the product of the roots of each factor
323×33
Reduce the index of the radical and exponent with 3
233
x=233
Alternative Form
x≈2.884499
Show Solution
