Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Solve for Y. Show work please will mark brainliest

(2y)^2 + y^2 = 25​


Sagot :

Answer:

y = + or - sqrt (5) Please mark as the best answer.

Step-by-step explanation:

(2y)^2 = (2y)^1+1 = (2y)^1 * (2y)^1 = (2y)(2y) (When you multiply, exponents add)

2*2=4

y*y=y^2 (Use the same process again)

Put above back in the equation:

4y^2 + y^2 = 25 (Collect like terms. 4 and 1 both have y^2 so can add them)

5y^2 = 25 (Divide by 5 on both sides)

y^2 = 5 (Get rid of ^2 by sqrt symbol)

So,

y = + or - sqrt (5) (I normally write a smaller plus and then negative below. It is a + and a - because both +5 and -5 to the second power give 25.)