Question

Find the real solution of the equation:
(5/x+4) = 4 + (3/x-2)

Answer 1

Clarify your parentheses

Answer 2

it's 5 over x+4 and 4 + 3 over x-2

Answer 3

5/(x+4) you mean?

Answer 4

So 5/(x+4) = (4+3)/(x-2)?

Answer 5

or 4+[3/(x-2)] ?

Answer 6

turing test you are correct

Answer 7

the left side of Pdoctor's equation is also correct 5/(x+4)

Answer 8

ok, multiply both sides by (x+4)(x-2)
5(x-2)=4(x+4)(x-2)+3(x+4)
5x-10=4(x^2+2x-8)+3x+12
2x-22=4x^2+8x-32
4x^2+6x-10=0

Answer 9

2x^2+3x-5=0
can we factor it or do we have to do the quadratic equation? let me see...

Answer 10

yeah it factors into
(2x+5)(x-1)=0
so x={-5/2,1}

Answer 11

thank you so much!

Answer 12

no prob!

Answer 13

medals are nice though... (hint hint)

Answer 14

thanks!

Answer 15

no probelm! wanna help me solve another problem? :D

Answer 16

let's go

Answer 17

absolute value, eh?

Answer 18

Yeah...do you add and subtract 1/3 to 1?

Answer 19

\[\left| x/2-1/3 \right|=1\]\[-1=x/2-1/3=1\]\[-2/3=x/2=4/3\]\[-4/3=x=8/3\]\[x=\left\{ -4/3,8/3 \right\}\]

Answer 20

not until you convert it the way I did to
-1=x/2-1/3=1
but that's not really the way they like you to write it. thay usually want you to say
x/2-1/3=-1 or x/2-1/3=1
and then solve each seperaetly. you get the same answer thoug, but I did a sort of shorthand.

Answer 21

ok i see what you mean thank you very much again!

Answer 22

anytime