SOLUTION: please help with this one:Write equation of the circle in standard form and sketch its graph:5x^2 + 5y^2 +10x + 1 = 0 I keep ending up trying to get a square root of a fraction an

Algebra.Com
Question 35364This question is from textbook
: please help with this one:Write equation of the circle in standard form and sketch its graph:5x^2 + 5y^2 +10x + 1 = 0
I keep ending up trying to get a square root of a fraction and this is what I have so far:
x^2 + y^2 + 2x + 1/5 =0 (so what do I do with the 5?)
x^2 + 2x + y^2 + 1/5 = 0
x^2 + 2x + 4 = y^2 + 1/5 = ??? I am missing a step to get here - thanks
This question is from textbook

Answer by narayaba(40)   (Show Source): You can put this solution on YOUR website!
5x^2 + 5y^2 +10x + 1 = 0
x^2 + y^2 +2x + 1/5 = 0
x^2 + 2x + y^2 + 1/5 = 0
add 1 to both sides of the equation
x^2 + 2x + 1 + y^2 + 1/5 = 1
(x+1)^2 + y^2 = 4/5
(x+1)^2 + y^2 = (2/(sqrt(5))^2

RELATED QUESTIONS

Write the equation of the circle 5x^2+5y^2+10x+1=0 in standard... (answered by MathLover1)
Write the equation 5x^2+5y^2+10x+1=0 in standard... (answered by Boreal)
Write the equation 5x^2+5y^2+10x+1=0 in standard... (answered by MathLover1)
need help on this one please complete the square and write the given equation in the... (answered by funmath)
write the equation of the circle in standard form. Find the center, radius, intercepts... (answered by ewatrrr)
Write the equation of the circle in standard form find the center, radius, intercepts and (answered by lwsshak3)
Write the equation of the circle in standard form. Find the center, radius, intercepts,... (answered by reviewermath)
How do I write the following equations in standard form? Help is greatly appreciated! (answered by edjones)
Can someone please help me. I don't understand how to start these. 1. For the given... (answered by MathLover1,KMST)