X-7/3x+1=x+3/x

Simple and best practice solution for X-7/3x+1=x+3/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-7/3x+1=x+3/x equation:



X-7/3X+1=X+3/X
We move all terms to the left:
X-7/3X+1-(X+3/X)=0
Domain of the equation: 3X!=0
X!=0/3
X!=0
X∈R
Domain of the equation: X)!=0
X!=0/1
X!=0
X∈R
We add all the numbers together, and all the variables
X-7/3X-(+X+3/X)+1=0
We get rid of parentheses
X-7/3X-X-3/X+1=0
We calculate fractions
X-X+(-7X)/3X^2+(-9X)/3X^2+1=0
We add all the numbers together, and all the variables
(-7X)/3X^2+(-9X)/3X^2+1=0
We multiply all the terms by the denominator
(-7X)+(-9X)+1*3X^2=0
Wy multiply elements
3X^2+(-7X)+(-9X)=0
We get rid of parentheses
3X^2-7X-9X=0
We add all the numbers together, and all the variables
3X^2-16X=0
a = 3; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·3·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*3}=\frac{0}{6} =0 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*3}=\frac{32}{6} =5+1/3 $

See similar equations:

| 2(x-7)+7x=16+4x | | v=1/3*3.14*(4)2*(19) | | F(5)=2x+11 | | 57/y=3/1 | | -5-16y=22 | | X=5,3x=30 | | -58=g+-97 | | 57/y=3 | | 8y^2+38y+9=0 | | 4^2x-5=7 | | (x+3)+(2x-18)=90 | | 3m+7=25m= | | 3(x-3)+1=10 | | -2(3m+4)-6m=2(2m+3)+2 | | 2(1+x)+4=-8 | | 4(2x+4)+3=35 | | 2x-2x-4+2=2-2+5x | | 3(20z−4)+18z=-6(-13z−7) | | 13=2(y-4)+3 | | 15=3+4(2d-3) | | 28-(3c+4)=2c+3)+c | | (12x-20)+(4x/3)=180 | | 4.75x+11=6.80x+2.80 | | y+45=3y-8.5 | | 7x+6=-5x-2 | | 6x2=300 | | 19.99+129x=34.95x | | 24+4z=13z+6 | | 19.99x+129=34.95x | | 4-9(2+6r)=-68 | | 10^3x-5=7^x | | x2+25=3 |

Equations solver categories