Question
Solve the equation
x1=−34513,x2=34513
Alternative Form
x1≈−1.586383,x2≈1.586383
Evaluate
3x4=19
Divide both sides
33x4=319
Divide the numbers
x4=319
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4319
Simplify the expression
More Steps

Evaluate
4319
To take a root of a fraction,take the root of the numerator and denominator separately
43419
Multiply by the Conjugate
43×433419×433
Simplify
43×433419×427
Multiply the numbers
More Steps

Evaluate
419×427
The product of roots with the same index is equal to the root of the product
419×27
Calculate the product
4513
43×4334513
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
34513
x=±34513
Separate the equation into 2 possible cases
x=34513x=−34513
Solution
x1=−34513,x2=34513
Alternative Form
x1≈−1.586383,x2≈1.586383
Show Solution
