Question
Solve the equation
x1=−54375,x2=54375
Alternative Form
x1≈−0.880112,x2≈0.880112
Evaluate
25x4=15
Divide both sides
2525x4=2515
Divide the numbers
x4=2515
Cancel out the common factor 5
x4=53
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±453
Simplify the expression
More Steps

Evaluate
453
To take a root of a fraction,take the root of the numerator and denominator separately
4543
Multiply by the Conjugate
45×45343×453
Simplify
45×45343×4125
Multiply the numbers
More Steps

Evaluate
43×4125
The product of roots with the same index is equal to the root of the product
43×125
Calculate the product
4375
45×4534375
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
54375
x=±54375
Separate the equation into 2 possible cases
x=54375x=−54375
Solution
x1=−54375,x2=54375
Alternative Form
x1≈−0.880112,x2≈0.880112
Show Solution
