pls.......answer the 25th question
pls.......HELP..
do you know how to add and subtract fractions?
yes\
that is all the first option is doing; it just looks messy
its looking too messy 4 me .help
\[\frac{m+n}{p+q}-\frac{m-n}{p-q}\] \[\frac{(m+n)(p-q)}{(p+q)(p-q)}-\frac{(p+q)(m-n)}{(p+q)(p-q)}\] \[\frac{(m+n)(p-q)-(p+q)(m-n)}{(p+q)(p-q)}\]
\[\frac{(m+n)(p-q)-(p+q)(m-n)}{(p+q)(p-q)}\] \[\frac{mp-nq+np-mq-mp-mq+np+nq}{p^2-q^2}\] \[\frac{\cancel{mp}\cancel{-nq}+np-mq\cancel{-mp}-mq+np\cancel{+nq}}{p^2-q^2}\] \[\frac{2np-2mq}{p^2-q^2}\] \[\frac{2(np-mq)}{p^2-q^2}\]
@amistre64 it is being shown to me : Math Processing Error] [Math Processing Error] [Math Processing Error] [Math Processing Error] [Math Processing Error]
mathslover, try doing a hard caache reset: Ctrl+f5
OK, let me try
otherwise, its prolly just telling you that i messed it up big time :)
:) , it is working now, sorry for interrupting and must say "excellent work sir"
yay!!
\[\frac{7+3\sqrt{5}}{3+\sqrt{5}}-\frac{7-3\sqrt{5}}{3-\sqrt{5}}=a+\sqrt{5}b\] \[\frac{(7+3\sqrt{5})(3-\sqrt{5})-(7-3\sqrt{5})(3+\sqrt{5})}{(3+\sqrt{5})(3-\sqrt{5})}=a+\sqrt{5}b\] \[\frac{(21-7\sqrt{5}+9-15)-(21+7\sqrt{5}-9-15)}{3^{2}-(\sqrt{5})^{2}}=a+\sqrt{5}b\] \[\frac{(15-7\sqrt{5})-(-3+7\sqrt{5})}{9-5}=a+\sqrt{5}b\] \[\frac{(15-7\sqrt{5})-(-3+7\sqrt{5})}{4}=a+\sqrt{5}b\] \[\frac{15-7\sqrt{5}+3-7\sqrt{5}}{4}=a+\sqrt{5}b\] \[\frac{18-14\sqrt{5}}{4}=a+\sqrt{5}b\] \[\frac{9-7\sqrt{5}}{2}=a+\sqrt{5}b\] \[\frac{9}{2}-\frac{7\sqrt{5}}{2}=a+\sqrt{5}b\] Now comparing LHS and RHS, \[a=\frac{9}{2}\] and \[\sqrt{5}b=\frac{-7\sqrt{5}}{2}\] \[b=\frac{-7}{2}\]
lol , direct solution ;)
isn't,.....\[3\sqrt{5}\times3=9\sqrt{5}\]
that it is
using m=7 n=3sqrt(5) p=3 q=sqrt(5) \[\frac{2(np-mq)}{p^2-q^2}\] \[\frac{2((3)3\sqrt{5}-7\sqrt{5})}{3^2-\sqrt{5}^2}\] \[\frac{2(9\sqrt{5}-7\sqrt{5})}{9-5}\] \[\frac{2(2\sqrt{5})}{4}=\sqrt{5}\] so i might be wrong ....
wat?
youll have to be more concise as to what your confusion may be ...
in @shubham.bagrecha 's answer 3sqrt5 x 5 is wrong @amistre64
i agree that shub has a few typos :) i like mine better, its much cleaner to read thru
for comparison tho: http://www.wolframalpha.com/input/?i=%287%2B3sqrt%285%29%29%2F%283%2Bsqrt%285%29%29-%287-3sqrt%285%29%29%2F%283-sqrt%285%29%29
looks like 0 + sqrt(5)*1 is a good answer tho
but how do we get the answer.... @amistre64
in my method, a generalized the values into variable; and worked thru the structure to simplify the form then i inserted the specific values into their proper place holders to determine the solution
but u gt the ansr sqrt5 ....nt 0+sqrt5x1
is there any difference btw. the two?@basith
yes, which means that by comparison to: a + sqrt(5) b ; that a=0 and b=1
cn u hlp me with the 2nd part too... :)
do you understand the first part?
yes......thnx 4 tht :)
then how can we use the knowledge from that to work out a suitable result for the second part?
first, generalize with variables\[\frac{a}{p-q}\] then work thru the structure to conform it to what they are asklng for ... how do we rationalize a denominator?
pls.....wait a min
\[\frac{ 25\sqrt{40}+25\sqrt{80} }{ -40 }\] then wat
then you can unravel the sqrts. they have perfect square factors that can be pulled out to conform them to: x sqrt(5) and ysqrt(10)
is it 7.905
@amistre64
im getting -9.xxxx
notice that you have a negative on the bottom, and a positive value up top; regardless of what the specifics are; the answer will have to be negative
the rest of it is just keeping track of your operations
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