The expression w^4 – 36 is equivalent to..?

w⁴ - 36

=> ( w² )² - ( 6 )²

=> ( w² + 6 ) ( w² - 6 )

=> w² + 6 = 0 and w² - 6 = 0

=> w = √-6 and w = √6

Becky has 8 nickels, 6 dimes and 5 quarters in her pocket.

Step-by-step explanation:

Let Number of nickels be 'n'

Let Number of dimes be 'd'.

Also Number of quarters be 'q'.

Given: there are two more nickels than dimes

hence

Now Given:

Total Number of Coins = 19

So the equation can be framed as;

Also Given:

Total Amount in pocket = $2.25

Now we know that;

1 nickel = $0.05

1 dime = $0.1

1 quarter =$0.25

So the equation can be framed as;

Now Multiplying equation 2 by 4 we get;

Now Subtracting equation 3 from equation 1 we get;

Now Substituting the value of d in equation 1 we get;

Also;

Hence Becky has 8 nickels, 6 dimes and 5 quarters in her pocket.