20 points!!! Please Help
Does the equation x2 - 4x + y2 = -3 intersect the x-axis?
2 answers:
Yes, because the center is on the x-axis, the circle will intersect 2 times, at x=1 and at x=3
Answer:
Yes, twice
Step-by-step explanation:
The equation will intersect the x-axis when y = 0, so we have
x² - 4x = -3 now solve this quadratic for x...
x² - 4x + 3 = 0
factor...
(x - 3)(x - 1) = 0,
so at x = 1 and x = 3, the function crosses the x-axis
See the graph below
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