Question
Solve the equation
x1=−363159,x2=363159
Alternative Form
x1≈−1.276842,x2≈1.276842
Evaluate
3(x3)2×1=13
Simplify
More Steps

Evaluate
3(x3)2×1
Multiply the exponents
3x3×2×1
Multiply the numbers
3x6×1
Multiply the terms
3x6
3x6=13
Divide both sides
33x6=313
Divide the numbers
x6=313
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6313
Simplify the expression
More Steps

Evaluate
6313
To take a root of a fraction,take the root of the numerator and denominator separately
63613
Multiply by the Conjugate
63×635613×635
Simplify
63×635613×6243
Multiply the numbers
More Steps

Evaluate
613×6243
The product of roots with the same index is equal to the root of the product
613×243
Calculate the product
63159
63×63563159
Multiply the numbers
More Steps

Evaluate
63×635
The product of roots with the same index is equal to the root of the product
63×35
Calculate the product
636
Reduce the index of the radical and exponent with 6
3
363159
x=±363159
Separate the equation into 2 possible cases
x=363159x=−363159
Solution
x1=−363159,x2=363159
Alternative Form
x1≈−1.276842,x2≈1.276842
Show Solution
