Important thing to note. In general:
You have to multiply it out with the FOIL method you've learned at school:
Recall that:
So for your radical term, imagine a = 2 and b = sqrt{17}.
Hello,
I have to solve for x and side lengths in a right triangle.
1. The two equidistant sides are x and x + 6
2. The hypotenuse is 2 sqrt 17
If I am correct so far, I used the Pythagorean Theorem. So:
x^2 + (x + 6)^2 = (2 sqrt 17)^2
x^2 + x^2 + 36 = I don't know how to do this.
Thank you very much!
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Moo, I liked your approach to this.
I would just say that when you get to ,
try to factor the trinomial either "guess and check" or this way:
Ask yourself, 'what 2 factors when multiplied together give you -16 and when added give you +6 (the coef. of the middle term)?'
Not many factors of 16 to worry with, so let's try and . I believe that'll do the trick.
The zero product property tell us that , or
Then, , or
is extraneoous since the lengths cannot be negative.
Therefore, and
Hi masters
Actually, I use this method for explaining to people... I would use what you've described, or just calculating the discriminant quickly to see what the solutions look like, if I had to deal with the problem
Thanks for noticing !
(VAP : please send mails instead of PMs, it will be a pleasure )
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