Question
Solve the equation
x=313961
Alternative Form
x≈0.318331
Evaluate
8x2×62x−16=0
Multiply
More Steps

Evaluate
8x2×62x
Multiply the terms
496x2×x
Multiply the terms with the same base by adding their exponents
496x2+1
Add the numbers
496x3
496x3−16=0
Move the constant to the right-hand side and change its sign
496x3=0+16
Removing 0 doesn't change the value,so remove it from the expression
496x3=16
Divide both sides
496496x3=49616
Divide the numbers
x3=49616
Cancel out the common factor 16
x3=311
Take the 3-th root on both sides of the equation
3x3=3311
Calculate
x=3311
Solution
More Steps

Evaluate
3311
To take a root of a fraction,take the root of the numerator and denominator separately
33131
Simplify the radical expression
3311
Multiply by the Conjugate
331×33123312
Simplify
331×33123961
Multiply the numbers
More Steps

Evaluate
331×3312
The product of roots with the same index is equal to the root of the product
331×312
Calculate the product
3313
Reduce the index of the radical and exponent with 3
31
313961
x=313961
Alternative Form
x≈0.318331
Show Solution
