Recent content by ExamFever

Now I got the following problem. I tried to use the logical steps you provided in the previous problem but I think I am missing something. Problem The sum of the first three terms of a geometrical sequence is 26 and their product is 216. Find the sum of the first four terms! so we have...

Mentallic, thanks for the reply. I realize getting x in terms of p should be easy but somehow I keep getting stuck. p - (1/x) = (p2 - 2x -5)/((p+3)x) I've tried to first remove fractions: (px-1)(p+3) = p2 - 2x - 5 (px-1)(p+3)-p2 = -2x - 5 However, here I'm left with a px term on the...

Homework Statement P1 We put 4000 USD per year into a savings bank at the beginning of the year for 10 years. After 10 years we take out 4000 USD each year. How much money will there be left in the account by the end of twenty years, if the rate of interest is 5%? P2 A train departed...

That is very good to know. So when working away logarithms, how will the fraction be treated? log2(x+1) + (1 / log2(x+1)) = 5/2 x + 1 + (1 / (x+1)) = 4 sqrt(2 Is this correct?

I've made very good progress in solving logarithmic equations. I thought I had all of them covered until I ran into the following problem: log2(x+1) + logx+12 = 5/2 I've tried several things here, but never managed to work out all logarithms. Some equations up to where I got and feel...

Hmm ok, I seem to really struggle with this. I just do not see how any of the identities you gave me helps me further with the problem. Instead of giving straight out answers could you perhaps explain to me HOW I should look at a trigonometry equation and how to continue further than changing...

Ok, thank you both for the replies. If I continue from \left( \frac{-b + \sqrt{b^2 - 4ac}}{2a} \right)^2 + \left( \frac{-b - \sqrt{b^2 - 4ac}}{2a} \right)^2 I simplify into (b2-2ac)/a2 Putting in the values of a, b and c: -(m-2)2 - 2(1 * (m-3)) divided by 12 thus the...

Homework Statement P1 sin 2x + sqrt(2) sin (x - (pi/4)) = 1 P2 Two sides of a triangle are 5cm and 9cm long. The ratio of the opposite angles is 1:3. Determine the angles and the length of the third side of the triangle! Homework Equations sin(2&) = 2 sin&cos& sin(& - §) = sin&...

Q5 - Equations with an "additonal" restricted variable Homework Statement P1 Determine the parameter m such that the sum of the squares of the roots of equation x2 - (m-2)x + m - 3 = 0 is minimal. P2 Determine the values of parameter p, so that the solution of equation p - (1/x) = (p2 -...

I might be missing some important understandig about the mean, but I cannot resolve the problem any further with the help of this hint. I have been breaking my head over it a while longer, but do not see where this fits in. Could you perhaps provide me with another hint? Thanks!

Ok, so it seems I do not quite understand it yet. My reasoning was the following: If x = 2, x =1 and x = 9/5 the equation is equal to 0 (0 times something is 0). Why is this not correct in this case? Also, when two of the three factors are minus and one is positive, this generates a positive...

Thanks to all of you. When I read your answers everything becomes clear to me. The only thing I do not understand sometimes is how I could be so stupid not to see it...I paid special attention to seeing the rules for radicals in here but missed the simple fact at one point that sqrt(a) * sqrt(b)...

Homework Statement Let a1, a2, a3 denote the first three terms of a geometrical sequence, for which a1 + a2 + a3 = 26. a1 + 3, a2 + 4, a3 - 3 are the first three terms of an arithmetical sequence. Find the first term and the common quotient (ratio) of the geometrical sequence...

Just to make sure I understand inequalities fully: x: [1,(9/5)]U[2, infinity) Is this correct?

Yes, however, the problem states I should be able to calculate without the use of a calculator...