Math

Question Find the values of y that satisfy the equation y2=64y^{2}=64.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation y2=64y^{2} = 64.
2. We need to find the value of yy.
3. Since y2y^{2} is a square, yy can have two values, one positive and one negative.

STEP 2

To find the value of yy, we can take the square root of both sides of the equation.
y=±64y = \pm\sqrt{64}

STEP 3

Calculate the square root of 64.
64=8\sqrt{64} = 8

STEP 4

Now, we apply the square root to both the positive and negative possibilities for yy.
y=±8y = \pm8

STEP 5

This gives us two solutions for the equation y2=64y^{2} = 64.
y=8ory=8y = 8 \quad \text{or} \quad y = -8
The solutions for the equation y2=64y^{2} = 64 are y=8y = 8 and y=8y = -8.

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