Question
Solve the equation
x1=−6344×633,x2=6344×633
Alternative Form
x1≈−0.501972,x2≈0.501972
Evaluate
4=21×3x4
Multiply the numbers
4=63x4
Swap the sides of the equation
63x4=4
Divide both sides
6363x4=634
Divide the numbers
x4=634
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4634
Simplify the expression
More Steps

Evaluate
4634
To take a root of a fraction,take the root of the numerator and denominator separately
46344
Simplify the radical expression
More Steps

Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
4632
Multiply by the Conjugate
463×46332×4633
Multiply the numbers
More Steps

Evaluate
2×4633
Use na=mnam to expand the expression
422×4633
The product of roots with the same index is equal to the root of the product
422×633
Calculate the product
44×633
463×463344×633
Multiply the numbers
More Steps

Evaluate
463×4633
The product of roots with the same index is equal to the root of the product
463×633
Calculate the product
4634
Reduce the index of the radical and exponent with 4
63
6344×633
x=±6344×633
Separate the equation into 2 possible cases
x=6344×633x=−6344×633
Solution
x1=−6344×633,x2=6344×633
Alternative Form
x1≈−0.501972,x2≈0.501972
Show Solution
