Question
Solve the equation
x=3345
Alternative Form
x≈1.185631
Evaluate
x2×3x−5=0×a
Multiply
More Steps

Evaluate
x2×3x
Multiply the terms with the same base by adding their exponents
x2+1×3
Add the numbers
x3×3
Use the commutative property to reorder the terms
3x3
3x3−5=0×a
Any expression multiplied by 0 equals 0
3x3−5=0
Move the constant to the right-hand side and change its sign
3x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
3x3=5
Divide both sides
33x3=35
Divide the numbers
x3=35
Take the 3-th root on both sides of the equation
3x3=335
Calculate
x=335
Solution
More Steps

Evaluate
335
To take a root of a fraction,take the root of the numerator and denominator separately
3335
Multiply by the Conjugate
33×33235×332
Simplify
33×33235×39
Multiply the numbers
More Steps

Evaluate
35×39
The product of roots with the same index is equal to the root of the product
35×9
Calculate the product
345
33×332345
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
3345
x=3345
Alternative Form
x≈1.185631
Show Solution
