Knowee
Questions
Features
Study Tools

y = √25 − x2, y = 3

Question

y = √25 − x2, y = 3

🧐 Not the exact question you are looking for?Go ask a question

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.

This problem has been solved

Similar Questions

Find the volume of the solid that results when the region enclosed by the given curvesis resolved about the x-axis.(a) y = √25 − x2, y = 3

x2 + y2 2  − 25x2 − y2 = 0

Y= 2x+5 6x-2Y =25

Given 5y−−√=3x, express y in terms of x.

3(−2x−1)+x−2=25

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.