y = √25 − x2, y = 3
Solution
To find the solution to the given equation, we need to substitute the value of y into the equation y = √25 − x^2.
Given that y = 3, we can rewrite the equation as 3 = √25 − x^2.
To solve for x, we need to isolate the variable x.
First, let's square both sides of the equation to eliminate the square root:
(3)^2 = (√25 − x^2)^2
Simplifying, we get:
9 = 25 − x^2
Next, let's isolate the x^2 term by subtracting 25 from both sides:
9 - 25 = -x^2
Simplifying further, we have:
-16 = -x^2
To solve for x, we need to get rid of the negative sign. We can do this by multiplying both sides of the equation by -1:
-1 * -16 = -1 * -x^2
16 = x^2
Now, we can take the square root of both sides to solve for x:
√16 = √x^2
4 = x
Therefore, the solution to the equation y = √25 − x^2, y = 3 is x = 4.
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