Question

factorise 10root2 x^2 + 3x - 9root2

Answer 1

\[10\sqrt{2} x ^{2}+3x-9\sqrt{2}\]

Answer 2

\[10\sqrt{2}x^2+3x-9\sqrt{2}\]?

Answer 3

yes pls...

Answer 4

ok i would not want to so this by had, so lets cheat

Answer 5

how???

Answer 6

set = 0 and solve using quadratic formula. get the zeros of
\[r_1,r_2\] and then write
\[(x-r_1)(x-r_2)\]

Answer 7

the zeros are
\[\frac{3\sqrt{2}}{5}\] and
\[-\frac{3}{2\sqrt{2}}\]

Answer 8

i get (-3+3root(89))/20root2 and (-3-3root(89))/20root2 as the roots... :/

Answer 9

today i am too tired and brain-dead and did not feel like doing it as it baffled me a litttle
so i put it out for u brainiacs to do it for me ... o( :{)

Answer 10

wow...i'll have to check my math. mine are not pretty but satellite's are

Answer 11

so we can factor as
\[(5x-3\sqrt{2})(2\sqrt{2}x+3)\]

Answer 12

i cheated. found the zeros, then factored. that is probably easiest way in this case. otherwise i am stuck

Answer 13

you can check by multiplication that this works. think you can even do it in your head.

Answer 14

first is right. last is right

Answer 15

Guys, the student who brought this to me has to solve it by "splitting the middle term" method as he has not been taught any other method yet......

Answer 16

well then lets split it.

Answer 17

All DETAILED help appreciated today !!!!!

Answer 18

$%^&* really?

Answer 19

what is the gimmick? we want to split the middle term. guess maybe we can work backwards and see what it should be

Answer 20

see what i meant...
its a foxy one !!!

Answer 21

3x=15x-12x
try that

Answer 22

my hero!

Answer 23

still not clear how it works though. can you elaborate?

Answer 24

yeah that is the crux i cud not work out finding factors of 180 was no problem
further steps eluded me

Answer 25

now i am intrigued. can you explain?

Answer 26

although i have to admit i like my way better!

Answer 27

i think i got it......

Answer 28

(sqrt(2))^4=4

Answer 29

\[10\sqrt{2}x ^{2} + 15x - 12x -9\sqrt{2}\]

Answer 30

\[10\sqrt{2}x^2+15x-12x-9\sqrt{2}=5x(2\sqrt{2}x+3)-3(4x+3\sqrt{2})=5x(2\sqrt{2}x+3)-3((\sqrt{2})^4x+3\]

Answer 31

\[5x(2\sqrt{2}x +3) -3\sqrt{2}(2\sqrt{2}x + 3)\]

Answer 32

\[5x(2\sqrt{2}x+3)-3((\sqrt{2})^4x+3\sqrt{2})=5x(2\sqrt{2}x+3)-3\sqrt{2}(2\sqrt{2}x+3)\]

Answer 33

yes! and the rest is easy

Answer 34

\[(5x-3\sqrt{2})(2\sqrt{2}x + 3)\]

Answer 35

@Harkiat. I was almost there...i went the other way and pulled the 2root(2)x + 3 out from each :)

Answer 36

pls check my working if its okay???

Answer 37

thats what i got above

Answer 38

gj

Answer 39

I get the same answer...not sure i'd be able to motivate the split without some trouble though.

Answer 40

@myininaya
thanks for the good work !!

ALL OTHERS - Thanks for getting my juices flowing again. Combined "brain-storming" defeats the PROBLEM once more !!!!!

Answer 41

lorda mercy i am sticking to finding the zeros, or at the very least completing the square. god work though!

Answer 42

i mean good work. maybe god's work too, who knows?

Answer 43

i like this is a good bonus question for peeps in college algebra

Answer 44

sure if you want them to really hate you!

Answer 45

lol
they wouldn't get it

Answer 46

JAI HO !!! ( as in the song from SLUMDOG MILLIONAIRE)

Answer 47

MEDALS to ALL - every thread of contribution appreciated, with special word of praise for myininaya (Is that yr real name???) !!!!!!

Answer 48

no it isn't
i want to call my daughter myininaya

Answer 49

i made it up
im in love with the name

Answer 50

what does it mean???

Answer 51

i guess i could make up a meaning lol

Answer 52

where r u from, I am from Delhi - India

Answer 53

@ satellite

CONGRATS FOR CROSSING 1000 mark !!!!

Answer 54

united states