Find The Center And Radius X^2+y^2+2x-10y+1=0 | Mathway

Enter a problem... Precalculus Examples Popular Problems Precalculus Find the Center and Radius x^2+y^2+2x-10y+1=0 Step 1Subtract from both sides of the equation.Step 2Complete the square for .Tap for more steps...Step 2.1Use the form , to find the values of , , and .Step 2.2Consider the vertex form of a parabola.Step 2.3Find the value of using the formula .Tap for more steps...Step 2.3.1Substitute the values of and into the formula .Step 2.3.2Cancel the common factor of .Tap for more steps...Step 2.3.2.1Cancel the common factor.Step 2.3.2.2Rewrite the expression.Step 2.4Find the value of using the formula .Tap for more steps...Step 2.4.1Substitute the values of , and into the formula .Step 2.4.2Simplify the right side.Tap for more steps...Step 2.4.2.1Simplify each term.Tap for more steps...Step 2.4.2.1.1Raise to the power of .Step 2.4.2.1.2Multiply by .Step 2.4.2.1.3Cancel the common factor of .Tap for more steps...Step 2.4.2.1.3.1Cancel the common factor.Step 2.4.2.1.3.2Rewrite the expression.Step 2.4.2.1.4Multiply by .Step 2.4.2.2Subtract from .Step 2.5Substitute the values of , , and into the vertex form .Step 3Substitute for in the equation .Step 4Move to the right side of the equation by adding to both sides.Step 5Complete the square for .Tap for more steps...Step 5.1Use the form , to find the values of , , and .Step 5.2Consider the vertex form of a parabola.Step 5.3Find the value of using the formula .Tap for more steps...Step 5.3.1Substitute the values of and into the formula .Step 5.3.2Cancel the common factor of and .Tap for more steps...Step 5.3.2.1Factor out of .Step 5.3.2.2Cancel the common factors.Tap for more steps...Step 5.3.2.2.1Factor out of .Step 5.3.2.2.2Cancel the common factor.Step 5.3.2.2.3Rewrite the expression.Step 5.3.2.2.4Divide by .Step 5.4Find the value of using the formula .Tap for more steps...Step 5.4.1Substitute the values of , and into the formula .Step 5.4.2Simplify the right side.Tap for more steps...Step 5.4.2.1Simplify each term.Tap for more steps...Step 5.4.2.1.1Raise to the power of .Step 5.4.2.1.2Multiply by .Step 5.4.2.1.3Divide by .Step 5.4.2.1.4Multiply by .Step 5.4.2.2Subtract from .Step 5.5Substitute the values of , , and into the vertex form .Step 6Substitute for in the equation .Step 7Move to the right side of the equation by adding to both sides.Step 8Simplify .Tap for more steps...Step 8.1Add and .Step 8.2Add and .Step 9This is the form of a circle. Use this form to determine the center and radius of the circle.Step 10Match the values in this circle to those of the standard form. The variable represents the radius of the circle, represents the x-offset from the origin, and represents the y-offset from origin.Step 11The center of the circle is found at .Center: Step 12These values represent the important values for graphing and analyzing a circle.Center: Radius: Step 13

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