Recent content by rama

me too, the future if better of as a mystery I've been hearing such amazing stories about history that i'd love to go and see them

The TARDIS(assuming it is a kind of time machine) (If sci-fi questions are allowed if not i'll just post a new one) if you could ride in a time machine 1.Would you go to the past? or 2.would you go to the future? WHY?

i like this one

got it thank you, I seem to be posting here without thinking hard next time I won't post without thinking out all options sorry

Homework Statement x,y,z are three terms in GP and a,b,c are three terms in AP prove that (xb÷xc)(yc÷ya)(za÷zb)=1Homework Equations The Attempt at a Solution (xb-c)(yc-a)(za-b) since x y z are in GP xb-c÷yc-a=yc-a÷za-b (xb- c)(za-b)=yc-a(yc-a)

pasmith thanks for your time I finally got it actually I hesitated to post such easy problems (for this PF level) good to see you taking time on helping me by the way how do you write fractions?

1. The pratement, all variables and given/known data If a =1÷(1-b) ,b=1÷(1-c),c=1÷(1-d) prove that a=d Homework Equations The Attempt at a Solution a=1÷(1-b) a-1÷(1-b)=0 {a(1-b)-1)}÷1-b=0 a-ab-1=0 a-ab=1 similarly b-bc=1 c-cd=1 could any of you please give a hint, this was...

there is another method developed by sridhara(870-930) ax2+bx+c=0 multiply both side by 4a 4a2x2+4abx+4ac=0 transposing 4ac 4a2x2+4abx=-4ac add b2 to both sides 4a2x2+4abx+b2=-4ac+b2 then (2ax+b)2=b2-4ac 2ax+b=√b2-4ac 2ax=-b(plus or minus)√(b2-4ac) x=(-b(plus or minus)√(b2-4ac))/2a i don't know...

the middle term has no effect on shape of parabola, while graphing x^2+10x+24=0 x^2=-10x-24 y=x^2 and y=-10x-24 middle term plays a role in where the linear equation cuts the parabola and not on the shape of the parabola

like Mark44 said this is an arithmetic progression Here the difference between two terms(of the sequence) is equal Tn=a+(n-1)d where a is the first term and d is the difference between two terms(d=T2-T1)

same as what mentallic said,the n(and root n) gets canceled and you are left with the original number lhs=rhs

if the order of the root is say x, and the power you raise are multiples of x , then it becomes a rational number(or if the power is 0) example:√2^4=4