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June 3rd, 2013, 05:22 AM   #1
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Circle Intersecting Axis

Based on the y-intercepts I've found, adding them together would yield the correct answer, but this is not the difference between the values and, hence, not the length of the intercept. Can anyone help?

Many thanks.

Q. K is the circle . Find the length of the intercept the circle cuts off the y-axis.

Attempt: Let
Apply quadratic equation: +/-\sqrt{(-^2-4(1)(-5)}}{2(1)}=\frac{8+/-\sqrt{64+20}}{2}=\frac{8+/-\sqrt{84}}{2}=4+/-\sqrt{21}" />
Difference between y intercepts = length of intercept:

Ans. (From text book): 8
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June 3rd, 2013, 06:12 AM   #2
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Re: Circle Intersecting Axis

I agree with your interpretation and result.
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June 3rd, 2013, 06:22 AM   #3
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Re: Circle Intersecting Axis

Great! Thank you very much.
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