Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 2x + y2 + 4y = 20

Question

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 2x + y2 + 4y = 20

theyadoreshayyy · Answer

@snowflake0531

theyadoreshayyy · Answer

@darkknight

snowflake0531 · Answer

One question, do you know how to do this at all? have you done similar problems?

theyadoreshayyy · Answer

When i did my DBA, but she was rushing and she didnt listen when i told her i didnt understand it.

snowflake0531 · Answer

$$x^2+2x+y^2+4x=20\(x^2+2x) + (y^2+4x)=20$$ $$(\frac{b}{2})^2$$ where b is ax^2 + bx + c, split it to x^2 +2x and y^2 + 4x, the b's are 2 and 4
so it's 1 and 4
$$(x^2+2x+1) +(y^2+4x+4)=20+1+4\(x+1)^2 + (y+2)^2=25$$ $$(x-h)^2+(y-k)^2=r^2$$