Find all the zero's of f:
f(t) = (t - 3)2 - (t + 3)
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OpenStudy (tad1):
t = 3
OpenStudy (anonymous):
is it (t-3)2 or (t-3)^2 ?????
OpenStudy (tad1):
multiply it out and combine like terms
OpenStudy (tad1):
Sorry I had a sign error; the answer should be 9
OpenStudy (anonymous):
@tad
I think the 2 in the first term shud b square.....
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OpenStudy (anonymous):
if it is (t-3)^2 - (t+3), then
= t^2 -6t +9 - t -3 (using the identity (a-b)^2 = a^2 - 2ab + b^2)
= t^2 - 7t + 6
= t^2 - t - 6t + 6
= t(t-1) -6(t -1)
= (t-6)(t-1)
OpenStudy (anonymous):
if f(t) = 0
=> (t-6)(t-1) = 0
this is possible if either of the two factors is zero
if t-6 = 0 => t = 6
if t-1 = 0 => t = 1
so zeros of f(t) are 1 and 6
OpenStudy (anonymous):
which one is correct nany?????????
OpenStudy (anonymous):
i got the las answer
OpenStudy (anonymous):
if u have to write square of something use the upward pointing carat ^ before the index
eg
3 squared = 3^2
square of (x +9) = (x+9)^2
cube of (z-j) = (z-j)^3