# The equation of a circle is 4x2 + 4y 2− 24x − 32y - 96 = 0. Write the equation in standard form.

## Question

## Solution 1

The standard form of a circle's equation is (x-h)² + (y-k)² = r², where (h,k) is the center of the circle and r is the radius.

Given the equation 4x² + 4y² - 24x - 32y - 96 = 0, we can rewrite it as:

4(x² - 6x) + 4(y² - 8y) = 96

Now, to complete the square, we take half of the coefficients of x a Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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