(y-1)^2=9

Jasonbradley

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Jun 17, 2024

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Solving the Equation (y-1)² = 9

This equation represents a simple quadratic equation. Let's break down how to solve it step-by-step.

1. Taking the Square Root

To get rid of the square, we take the square root of both sides of the equation:

√((y-1)²) = ±√9

This gives us:

y - 1 = ±3

2. Isolating 'y'

Now, we isolate 'y' by adding 1 to both sides:

y = 1 ± 3

3. Finding the Solutions

This gives us two possible solutions:

• y = 1 + 3 = 4
• y = 1 - 3 = -2

Therefore, the solutions to the equation (y-1)² = 9 are y = 4 and y = -2.