Question
Solve the equation
x=1231548
Alternative Form
x≈0.963997
Evaluate
4x2×12x−43=0
Multiply
More Steps

Evaluate
4x2×12x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3−43=0
Move the constant to the right-hand side and change its sign
48x3=0+43
Removing 0 doesn't change the value,so remove it from the expression
48x3=43
Divide both sides
4848x3=4843
Divide the numbers
x3=4843
Take the 3-th root on both sides of the equation
3x3=34843
Calculate
x=34843
Solution
More Steps

Evaluate
34843
To take a root of a fraction,take the root of the numerator and denominator separately
348343
Simplify the radical expression
More Steps

Evaluate
348
Write the expression as a product where the root of one of the factors can be evaluated
38×6
Write the number in exponential form with the base of 2
323×6
The root of a product is equal to the product of the roots of each factor
323×36
Reduce the index of the radical and exponent with 3
236
236343
Multiply by the Conjugate
236×362343×362
Simplify
236×362343×336
Multiply the numbers
More Steps

Evaluate
343×336
The product of roots with the same index is equal to the root of the product
343×36
Calculate the product
31548
236×36231548
Multiply the numbers
More Steps

Evaluate
236×362
Multiply the terms
2×6
Multiply the terms
12
1231548
x=1231548
Alternative Form
x≈0.963997
Show Solution
