Question

Solve the equation y + y + 1 = √(y^2) + 9.

a) y = 2
b) y = -1
c) y = 8
d) y = -4

Answer 1

To solve the equation y + y + 1 = √(y^2) + 9, simplify both sides of the equation and isolate the y term to find the solution.

Step-by-step explanation:

To solve the equation y + y + 1 = √(y^2) + 9,

1. We start by simplifying both sides of the equation. On the left side, y + y + 1 can be simplified to 2y + 1. On the right side, √(y^2) can be simplified to y since the square root and square cancel each other out. Therefore, the equation becomes 2y + 1 = y + 9.

2. Next, we isolate the y term. Subtracting y from both sides of the equation, we get y + 1 = 9. Subtracting 1 from both sides, we have y = 8. Therefore, the solution to the equation is y = 8.