The first terms of an A.P and G.P are each 2/3. Their common and difference and
common ratio are each X and the sum of their first three terms are also equal.
Find the two possible values of X
Simply and express your answer in a form that is free of radicals in the denominator
3/2+√3-4/1-√2
The first term of a geometric progression is √ 3+1 and the sum of the first three
terms is 3( √ 3-1) . Find the common ratio of the progression.
(4marks).
A person's height is measured to be 67.50 in.what is this height in centimeters
solve the following quadratic equations. Leave surds in your answers.
a) (x-3)^2-3=0
b) (3x-7)^2 =8
2a) x^4-5x^2+4=0
b) x-8=2squareroot x
Equation x^3 + 27x^2 + p = 0 has three different real solutions that form an arithmetic progression. Find the smallest value of parameter p.
y=3(x-13)^2+23
If m, n and p are the roots of the polynomial x3+5x-8 and sum of the roots is 0
0, then find the value of m3+n3+p3.
.
The volume of a box V, varies with some variable x as V(x)=x^3 - 12x ^2 + 44x -48 cubic metres. If (x - a) metre is the measurement of one side of the box, then find the value for a.