Question
Solve the equation
x1=−547875,x2=547875
Alternative Form
x1≈−1.884051,x2≈1.884051
Evaluate
−10x4=−126
Change the signs on both sides of the equation
10x4=126
Divide both sides
1010x4=10126
Divide the numbers
x4=10126
Cancel out the common factor 2
x4=563
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4563
Simplify the expression
More Steps

Evaluate
4563
To take a root of a fraction,take the root of the numerator and denominator separately
45463
Multiply by the Conjugate
45×453463×453
Simplify
45×453463×4125
Multiply the numbers
More Steps

Evaluate
463×4125
The product of roots with the same index is equal to the root of the product
463×125
Calculate the product
47875
45×45347875
Multiply the numbers
More Steps

Evaluate
45×453
The product of roots with the same index is equal to the root of the product
45×53
Calculate the product
454
Reduce the index of the radical and exponent with 4
5
547875
x=±547875
Separate the equation into 2 possible cases
x=547875x=−547875
Solution
x1=−547875,x2=547875
Alternative Form
x1≈−1.884051,x2≈1.884051
Show Solution
