The value of w is √-6 and √6 .
What is an identity?
An identity is an equation that is true for all values of the variables.
For example:
The above equation is true for all possible values of x and y, so it is called an identity.
According to question one such identity will be used
[tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]
w⁴ - 36
= ( w² )² - ( 6 )²
= ( w² + 6 ) ( w² - 6 )
= w² + 6 = 0 and w² - 6 = 0
= w = √-6 and w = √6
Hence, w is a quadratic term so it have two value √-6 , √6 .
To know more about identity here :
https://brainly.com/question/20427661
# SPJ2
