Question

Solve the proportion 2x/6x+7 = 2/x
what is x?

Answer 1

Hint: Cross-multiplication:
\[\frac{ A }{ B }=\frac{ C }{ D }\]
implies \[A*D=B*C\]
can you do the same process for the proportion you've got?

Answer 2

yeah thanks!

Answer 3

you'll get a quardratic equation:
like this: \[ax ^{2}+bx+c=0\]
you have to solve it for x

Answer 4

right

Answer 5

oh wow.. so which one is it..?
x = 1 and x = -7

x = -1 and x = 7

x = -1 and x = 6

x = 1 and x = 6

Answer 6

@fjr12 Please help the user find the answer..atleast let him try

Answer 7

did you get a quadratic equation?after cross-multiplication and a lil simplification?

Answer 8

im a her...awk
and uh no i just cant figure it out like at all

Answer 9

ok..
you have \[\frac{ 2x }{ 6x+7 }=\frac{ 2 }{ x }\]
cross-multiply (refer to my first reply)
\[2x(x)=2(6x+7)\]
can you simplify it a lil bit?like distribute 2 on the right side..

Answer 10

fjr12 is completely wrong. do not listen to him

Answer 11

your quadratic formula should be

x^2-6x-7=0

Answer 12

actually simple error in the quadratic where \[x^2-6x-7\]

Answer 13

so \[x=7 and -1\]

Answer 14

so i am right

Answer 15

@Sabrinaap happy to help ;)