x-3=4/x

Simple and best practice solution for x-3=4/x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x-3=4/x equation:



x-3=4/x
We move all terms to the left:
x-3-(4/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
x-(+4/x)-3=0
We get rid of parentheses
x-4/x-3=0
We multiply all the terms by the denominator
x*x-3*x-4=0
We add all the numbers together, and all the variables
-3x+x*x-4=0
Wy multiply elements
x^2-3x-4=0
a = 1; b = -3; c = -4;
Δ = b2-4ac
Δ = -32-4·1·(-4)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-5}{2*1}=\frac{-2}{2} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+5}{2*1}=\frac{8}{2} =4 $

See similar equations:

| 4x-(8-x)=x+4 | | 4(x−6)=3(x+6) | | 8x+9x-4x-5=34 | | t/0.6=8.9 | | 5x+3=7x-14 | | 3(x-1)-3(2x-3)=4(x+3)-2(2x-1) | | 7=c−58 | | m*m-4m-12=0 | | 16-7w=-2(1-w) | | 2x+2=4x−6 | | 2(x-4)+4(2x-3)=2(x+4) | | -10/x=-10/3x+8 | | 31/3(1+2x)=51/2(2x-1) | | 1/10y+1/5=-23/30 | | 8k+12=2(k-3) | | -1-y=-2y | | 10n+26=402 | | 45.5+0.5(10k)=90.5 | | 1/2x-1/3(x-9)=3x | | d+(−5.004)=2.826d= | | 7/9x-5/3=2/3 | | -16=40t | | -45=54t | | 9x+5-4(x+1)=8x+3 | | 1/4(x+15)=20 | | 124=7x-44 | | 0.75(x+5/1/2)=5/8 | | 18.6-2x=3x+2.4 | | -6+6x-4x=-30 | | -21.8-3g=9.5 | | 3x-1-2x=-2 | | —1/5(x-4)=-2 |

Equations solver categories