x=8-15/x

Simple and best practice solution for x=8-15/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=8-15/x equation:



x=8-15/x
We move all terms to the left:
x-(8-15/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-(-15/x+8)=0
We get rid of parentheses
x+15/x-8=0
We multiply all the terms by the denominator
x*x-8*x+15=0
We add all the numbers together, and all the variables
-8x+x*x+15=0
Wy multiply elements
x^2-8x+15=0
a = 1; b = -8; c = +15;
Δ = b2-4ac
Δ = -82-4·1·15
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2}{2*1}=\frac{6}{2} =3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2}{2*1}=\frac{10}{2} =5 $

See similar equations:

| 6.84.2=5.6b-3 | | 6.84.26=5.6b-3 | | 2xx8=-30 | | (6z+7)(2z-7)=0 | | 5-3x/7=2x | | 16+8x=-2(-4x-8) | | 3(2/9)=1-2/3(x+1)+4/3x | | 10-1/5x=1/10x+3 | | 10-1/(5)x=1/(10)x+3 | | 19x-18=17x+10 | | (3x+-4)=(2x+6) | | 3b(b-2)=12 | | 20=68+x | | (2,-8);m=-3/4 | | (6b-42)=(3b) | | (7a+33)=(10a-12) | | 1.5x=78 | | x+20=6x6= | | x-2/5=-x/10 | | x+5.58x/100=5827 | | F(X)=11x+12 | | F(X)=5-4x | | Y=-7x+4x | | 5y2-4y-3=0 | | 2w2=4.5 | | x2+4x4=0 | | 8w-6=2w+22 | | 8w-6=2w+11 | | -5.3=-8.1+q | | 2x²+5x+36=0 | | 4+33/22=x/43 | | 4/c=3/2 |

Equations solver categories