Question
Factor the expression
3(5x4−1)
Evaluate
15x4−3
Solution
3(5x4−1)
Show Solution

Find the roots
x1=−54125,x2=54125
Alternative Form
x1≈−0.66874,x2≈0.66874
Evaluate
15x4−3
To find the roots of the expression,set the expression equal to 0
15x4−3=0
Move the constant to the right-hand side and change its sign
15x4=0+3
Removing 0 doesn't change the value,so remove it from the expression
15x4=3
Divide both sides
1515x4=153
Divide the numbers
x4=153
Cancel out the common factor 3
x4=51
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±451
Simplify the expression
More Steps

Evaluate
451
To take a root of a fraction,take the root of the numerator and denominator separately
4541
Simplify the radical expression
451
Multiply by the Conjugate
45×453453
Simplify
45×4534125
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
54125
x=±54125
Separate the equation into 2 possible cases
x=54125x=−54125
Solution
x1=−54125,x2=54125
Alternative Form
x1≈−0.66874,x2≈0.66874
Show Solution
