i was wondering what the method is to figuring this out:

am i right in thinking the answer is 16?

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- Sep 21st 2009, 09:50 AMmarksquaring brackets
i was wondering what the method is to figuring this out:

am i right in thinking the answer is 16? - Sep 21st 2009, 10:00 AMmasters
- Sep 21st 2009, 10:05 AMmark
ah thanks masters, so i've got that part of it right then. do you reckon you could look at the last question i posted on here please? if you could could you explain everything i need to do to complete it in detail becase there must be something i'm missing thats making it hard to understand. thanks

ps its the one called "equation" - Sep 21st 2009, 11:47 AMmasters
Sure, mark,

(1)

(2)

Solve the first equation for x.

(1)

Substitute this in (2).

Expand and simplify:

Multiply all terms by 5.

Combine terms and simplify.

Factor.

Now, substitute this back into (1) to find the corresponding x value.

The intersection is (2, -2). The line is tangent to the hyperbola at this point. - Sep 21st 2009, 11:54 AMmark
ahhh thankyou very much, that was a really good explanation