SOLUTION: Consider the following circle. x2 + y2 − 12x + 5y + 19 = 0 (a) Find the x-intercepts.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Consider the following circle. x2 + y2 − 12x + 5y + 19 = 0 (a) Find the x-intercepts.       Log On


   

Question 835686: Consider the following circle.
x2 + y2 − 12x + 5y + 19 = 0
(a) Find the x-intercepts.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If you mean a circle, then you really want this:
x%5E2+%2B+y%5E2+-+12x+%2B+5y+%2B+19+=+0.

If you want x intercepts, then y=0:
x%5E2%2B0-12x%2B0%2B19=0
x%5E2-12x%2B19=0
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Discriminant is 144-4%2819%29=144-76=68=4%2A17
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x=%2812%2B-+sqrt%284%2A17%29%29%2F%282%29
x=%2812%2B-+2%2Asqrt%2817%29%29%2F2
highlight%28x=6%2B-+sqrt%2817%29%29