Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(w2−45)(w2+45)
Evaluate
w4−2025
Rewrite the expression in exponential form
(w2)2−452
Solution
(w2−45)(w2+45)
Show Solution
Find the roots
w1=−35,w2=35
Alternative Form
w1≈−6.708204,w2≈6.708204
Evaluate
w4−2025
To find the roots of the expression,set the expression equal to 0
w4−2025=0
Move the constant to the right-hand side and change its sign
w4=0+2025
Removing 0 doesn't change the value,so remove it from the expression
w4=2025
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±42025
Simplify the expression
More Steps
Evaluate
42025
Write the expression as a product where the root of one of the factors can be evaluated
481×25
Write the number in exponential form with the base of 3
434×25
The root of a product is equal to the product of the roots of each factor
434×425
Reduce the index of the radical and exponent with 4
3425
Simplify the root
35
w=±35
Separate the equation into 2 possible cases
w=35w=−35
Solution
w1=−35,w2=35
Alternative Form
w1≈−6.708204,w2≈6.708204
Show Solution