Hi, i used this forum for my GCSE mathematics, and I managed to get an A in the end! Firstly, if any of you remember my panicked questions, i would like to thank you for all the help given as similar questions came up in the test requiring that method to solve them! I moved to higher tier 4 weeks before i broke up from school, so had to ask friends and you helpful people for help, but thankfully it was worth it and i got the A.. so thank you all who helped!
Anyway.. I have moved on. I am now doing A2 level maths along with biology, chemistry, english language (and a spanish course for beginners). My teacher has given me some terribly hard questions and i was wondering if anyone could get me going on these.. the whole class thinks they are hard but i need to try and answer some! So hear goes..
1a) Given that 2^a = 8^b, express a in terms of b.
1b) State the value of x for which 9^x = 3.
2) If x^p = (√x)^3, x^q = 1/x^2 and x^r=x^p/x^q
a) Find the value of x
b) Evaluate x^r when x = 4
3a) Express (1+√2)^2 in the form a+b√2, where a and b are integers to be found.
3b) By substituting x = y^1/2, or otherwise, solve the equation 6y^1/2 = y+9
There are more questions.. many more but to get me started some help on those would be great
Now FOIL it out:
Now let , so , giving:
Factor this and solve it. Don't forget to take the square root of z at the end to get your y.
For most of these, you're expected to know that:
. . If , then
Given two equal exponentials with equal bases, their exponents are equal.
We have: .1a) Given that , express in terms of
We have: .1b) State the value of for which
a) Find the value of . . . . Did you mean ?
b) Evaluate when