Solve for y. y2 − 18 = –17 Write your answers as integers or as proper or improper fractions in simplest form. y = or y =

Answer 1

To solve the equation \( y^2 - 18 = -17 \), first, we can add 18 to both sides:

\[ y^2 - 18 + 18 = -17 + 18 \]

This simplifies to:

\[ y^2 = 1 \]

Next, we take the square root of both sides. Remember that taking the square root will give us both the positive and negative solutions:

\[ y = \sqrt{1} \quad \text{or} \quad y = -\sqrt{1} \]

Which gives us:

\[ y = 1 \quad \text{or} \quad y = -1 \]

Thus, the solutions for \( y \) are:

\[ y = 1 \quad \text{or} \quad y = -1 \]