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Mathematics-Online problems: | ||

## Solution to the problem of the (previous) week |

** Problem:**

Find the parameter as well as the point of tangency and the point of intersection .

**Answer:**

, | ||

, |

(The results should be correct to four decimal places.)

** Solution:**

Hence, we have

Simplifying, we get and , which yields

Substitute in the equation of the parabola to find the intersection point:

Since is a zero of order 2 of (-coordinate of the point of tangency), we can factor and obtain the form

[problem of the week]