Question

Whats the radius for 5x^2+5y^2-3x=0 rewrite the equattion in standard form showing that the equation represents a circle?

Answer 1

Step 1:

The conic equation .

Standard form of circle , where is center and is radius of circle.

Convert the equation into standard form.

Completing square.

Change the expression, into a perfect square trinomial.

Add (half the x coefficient)² to each side of the equation.

.

Divide each side by 5.

.

Compare with standard form of circle .

Center and radius is .

Solution:

Standard form of the circle is .

Radius is units