(1/32)=(1/x)-(1/(200-x))

Simple and best practice solution for (1/32)=(1/x)-(1/(200-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 (1/32)=(1/x)-(1/(200-x)) equation: 


D( x )

x = 0

200-x = 0

x = 0

x = 0

200-x = 0

200-x = 0

200-x = 0 // - 200

-x = -200 // * -1

x = 200

x in (-oo:0) U (0:200) U (200:+oo)

1/32 = 1/x-(1/(200-x)) // - 1/x-(1/(200-x))

1/(200-x)-(1/x)+1/32 = 0

1/(200-x)-x^-1+1/32 = 0

1/(200-x)-1/x+1/32 = 0

(1*32*x)/(32*x*(200-x))+(-1*32*(200-x))/(32*x*(200-x))+(1*x*(200-x))/(32*x*(200-x)) = 0

1*x*(200-x)-1*32*(200-x)+1*32*x = 0

64*x-x^2+200*x-6400 = 0

264*x-x^2-6400 = 0

264*x-x^2-6400 = 0

264*x-x^2-6400 = 0

DELTA = 264^2-(-6400*(-1)*4)

DELTA = 44096

DELTA > 0

x = (44096^(1/2)-264)/(-1*2) or x = (-44096^(1/2)-264)/(-1*2)

x = (8*689^(1/2)-264)/(-2) or x = (-8*689^(1/2)-264)/(-2)

(x-((8*689^(1/2)-264)/(-2)))*(x-((-8*689^(1/2)-264)/(-2))) = 0

((x-((8*689^(1/2)-264)/(-2)))*(x-((-8*689^(1/2)-264)/(-2))))/(32*x*(200-x)) = 0

((x-((8*689^(1/2)-264)/(-2)))*(x-((-8*689^(1/2)-264)/(-2))))/(32*x*(200-x)) = 0 // * 32*x*(200-x)

(x-((8*689^(1/2)-264)/(-2)))*(x-((-8*689^(1/2)-264)/(-2))) = 0

( x-((-8*689^(1/2)-264)/(-2)) )

x-((-8*689^(1/2)-264)/(-2)) = 0 // + (-8*689^(1/2)-264)/(-2)

x = (-8*689^(1/2)-264)/(-2)

( x-((8*689^(1/2)-264)/(-2)) )

x-((8*689^(1/2)-264)/(-2)) = 0 // + (8*689^(1/2)-264)/(-2)

x = (8*689^(1/2)-264)/(-2)

x in { (-8*689^(1/2)-264)/(-2), (8*689^(1/2)-264)/(-2) }

See similar equations:

| -2n-5n=-35 | | 11-4x=55 | | -15=6+7(v-8) | | y^(7/6)-128 | | 1.2(2.5x)+1.2(2.2y)+(-3.5)(2.0x)+(-3.5)(1.5y)= | | -5-8(1+3x)=-32 | | x+.2x=180 | | -6h-5+3=-30 | | 8X+4Y=1120 | | 30b+30=330 | | 36=4m-6 | | 7X+6Y=1080 | | X+(X*0.085)=21.58 | | -34=3c-2c | | x^2+4y^2+0=17 | | 3x+2(-5-4)=9-4x | | -3(1-9y)=32 | | 20logx=0.00000515 | | Lnx^3+4Lnx^2+5Lnx+2=0 | | Y=27-3x^2 | | 50x^2+150=40x^2+250 | | -6(8b+3)=-34+7b | | -7(6-2s)=-23 | | 30c+10=2400 | | x^2+6xy+y^2-9=0 | | -23=-2(5r+3) | | 6x*5x-((6x-2x)*(5x-2x))=18 | | 2.4*0.002= | | 7(2-6k)= | | 10b+20=2030 | | 3x^2-60x+225=0 | | x^2+4y^2=17 |

Equations solver categories