Recently Active Algebra Questions

Plz give me all the necessary theorems for solving the chapter Equations, Inequations and expressions. ...

Show that a4b+1 - a is divisible by 30 ...

find x,y,z 4x2+25y2+9z2-10xy-15yz-6zx=0 and x+y+z=5 ...

(12x-1)(6x-1)(4x-1)(4x-1)(3x-1)=5 find x. ...

In a n sided regular polygon the probability that the two diagnols chosen at random will intersect inside the polygon is .................. i m bit confused abt the prblm....help ...

solve for x,y x2+y(x+1)=17 and y2+x(y+1)=13 ...

4^{log_{2}2x}=36 ...

If n is an even number and α, β are the root of the equation x2 + ax + b = 0 and β/α is a root of eqn xn + 1 + (x+1)n = 0, and f(x) = x2n + anxn + bn, then which of the following is (are) necessarily true? (a) f(αn) = 0 ...

If α, β are the roots of the equation x2-2x-a2+1 = 0 and γ, δ are the roots of the equation x2-2(a+1)x+a(a-1)=0 such that α, β belongs to (γ,δ) , then find the values of ‘a’. ...

i cudnt understand a single term, but seems that all r some hi fi concepts.may be many of u know the meaning of these words (lyk our forum experts and johny)........... G. H. Hardy quotes: "The limitations of his knowledge we ...

s=1+2+4+8+16+..........∞ now 2s=2+4+8+16+........∞ so, 2s=s-1 s=-1 but, s=1+2+4+8+16+..........∞ i.e., s=+ve so,-1 is positive ohh my god!! i ll get mad!! :P ...

A fun result. Its more suited for 11th students A sequence is as follows: 1,2,3,4,5,10,20,40,80,160,... i.e. the 1st 5 nos. in AP and then onwards a GP. Prove that every natural number can be obtained as sums of distinct term ...

1)There are seven people in a elevator.The lift stops at 3(unspecified) floors.In each stop or more people get out, but no one boards it.After 3 stops it is found that the elevator is empty.Find the no. of way this can happen ...

5x/2 -2x =1 ...

solve for x,y,z xy+x+y=23 xz+x+z=41 yz+y+z=27 ...

1+2log_{x+2}5 = log_{5}(x+2) ...

Let P(x) = x2 + bx + c where b and c are integer. If P(x) is a factor of both x4 + 6x2 + 25 and 3x4 + 4x2 +28x +5 , find the value of P(1). ...

\lim_{x\rightarrow \propto } \frac{n^{k}cos(n!)}{n+1} 0<k<1 ...

If k=at1(1+t22) ,h=-a(t12+t22 +2) and t1t2=-4 then eliminate t1 and t2. ...

Factorize x(x+5)(x+7)(x+12) + 150 ...

The number of non- negative integral solutions of x1+x2+x3+x4=20 with at least one of the xi ( i=1,2,3,4) is even is: (a) 1500 (b) 1470 (c) 1450 (d) 1606 ...

\textrm{if the equation \: \: }x^4 + px^3 +qx^2 + rx+ 5= 0 \textrm{\: \: has four positive real roots find minimum value of pr } 2) without use of CALCULUS prove that \textrm{if the equation \: \: } x^3 +ax+ b= 0 \textrm{\: \ ...

Suppose you have a cloth bag with one marble inside-either black or white, you don't know which. You add a white marble, shake the bag, and take out a marble at random. It's white. What are the odds that the remaining marble ...

find real roots of equation \fn_cs \sqrt{x+2\sqrt{x+2\sqrt{x+........+2\sqrt{x+2\sqrt{3x}}}}} =x \fn_cs \left ( \textbf{n radical signs} \right ) 1) tell full solution wid explanation 2) what is radical signs?? ...

what is the no of diagonals in a polygon which has n sides? ...

in how many ways can the letters of the word CINEMA be arranged so that the order of vowels do not change? ...

\120dpi \; \; LET A ={2,3,4,5,.........17,18}.LET \simeq BE \:\; THE\; \; EQUIVALENCE\; \; RELATION\; \; ON\; \; A\times A,\; \; DEFINED\; \; BY\; (a.b)\simeq (c.d)\; \; iff\; \; ad=bc.\; \; THEN\; \; THE\; \; NO\; \; OF\; \; ...

1) Prove that an infinite number of AP's exist, such that each of the terms is a perfect square. 2) How many ways are there to place the 1st 64 nos. on the 64 squares of a std. chessboard, such that the terms in each col. and ...

\texttt{let a,b,c be positive reals} \\ \texttt{if} \ a+b+c=3 \\ \texttt{then prove that:}\\ \frac{a}{4b^{2}+1}+\frac{b}{4c^{2}+1}+\frac{c}{4a^{2}+1}\geq\frac{3}{5} ...

If the sum of n terms of a series is Sn = n (5n – 3), find the nth term and pth term. ...