Write x2 + y2 - 18x + 8y + 5 = 0 in standard form.

Group terms and move the constant to the other side of the equation.

x2 - 18x + y2 + 8y = - 5

Determine the values that need to be added to both sides of the equation.

(-18 : 2) 2 = 81 and (8 : 2) 2 = 16

Add the values to both sides of the equation.

Write each trinomial as a binomial squared, and simplify the right side.

What is the standard form of the equation of a circle given by x2 + y2 - 18x + 8y + 5 = 0?

Question

Damien Melton

30 January, 22:04

+3

Answers (2)

Know the Answer?

Kiana Benjamin · Answer 1

x-9

y+4

92

Wiggles · Answer 2

x²-18x+81 + y²+8y+16 = - 5+81+16=92

(x-9) ² + (y+4) ² = (2✓23) ²

circle centered at (9,-4) with radius 2✓23