Originally Posted by

**eleventhhour** 4) Consider the equation H(t) = 16(2)^2t - 10(2)^t + 1. What are its roots? (HINT: Does this look like a quadratic? Perhaps, at least at first, it should be treated like one).

5) Do the same for Y(x) = 2sin^2x - 3sinx - 2. What is wrong with your solutions?

So, this is what I've done so far (which may be completely wrong!)

16(2*t*)^2 − 10(2)^*t *+ 1 = 0

*u *= 2*t*

16*u^*2 − 10*u *+ 1 = 0

Factored it: (8u-1)(2u-1) = 0

and then found the zeros: 1, 1/8 and 1/2

And then I'm not sure about the next part. Do I substitute 2^t for u?

[8(2^t)-1][2(2^t)-1] = 0

(16^t - 1)(4^t-1)

and then how would you find the roots of that? (assuming that I did that correctly...)

Thanks!