Question

solve for x : x-4+ 3/x=0 any ideas? i came to the solutions (1,3).

Answer 1

rewrite the equation

x - 4 = -3/x

multply each term by x

x^2 - 4x = -3

add 3 to both sides

x^2 - 4x + 3=0

factorise

(x -3)(x+1)

x = 3, -1

Answer 2

@campbell_st I think it should be x - 4 = -3/x

you missed the sign.

So the solution is,
x^2 -4x = -3
or, x^2 -4x +3 =0
or, x^2 -3x -x +3 =0
or, x(x-3) -1 (x-3) =0

so, x = 1,3

@brandon871861 you are right.

Answer 3

ummm thats what my solution is... please check

Answer 4

thank you very much yall.. greatly appriciate it!!

Answer 5

the solution isn't (1,3) as this indicates an ordered pair... the solution is x = 1, 3

Answer 6

i dont understand when you say x=1, 3

Answer 7

is it the same things as saying... x=1 and x=3? i dont see how x can be both 1 and 3 if thats the case..

Answer 8

yes when you substitute x = 1 or x = 3 into the equation the solution is 0...

the ordered pairs are (1, 0) and (3, 0) your solution (1, 3) is x = 1 and y = 3

the equation you solved can be drawn on the number plane... and the solutions x=1 and x = 3 is where it cuts the x axis

Answer 9

this is a simple graph