1360/x=x/(1360-x)

Simple and best practice solution for 1360/x=x/(1360-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 1360/x=x/(1360-x) equation:


D( x )

x = 0

1360-x = 0

x = 0

x = 0

1360-x = 0

1360-x = 0

1360-x = 0 // - 1360

-x = -1360 // * -1

x = 1360

x in (-oo:0) U (0:1360) U (1360:+oo)

1360/x = x/(1360-x) // - x/(1360-x)

1360/x-(x/(1360-x)) = 0

(-1*x)/(1360-x)+1360/x = 0

(-1*x^2)/(x*(1360-x))+(1360*(1360-x))/(x*(1360-x)) = 0

1360*(1360-x)-1*x^2 = 0

1849600-x^2-1360*x = 0

1849600-x^2-1360*x = 0

1849600-x^2-1360*x = 0

DELTA = (-1360)^2-(-1*4*1849600)

DELTA = 9248000

DELTA > 0

x = (9248000^(1/2)+1360)/(-1*2) or x = (1360-9248000^(1/2))/(-1*2)

x = (1360*5^(1/2)+1360)/(-2) or x = (1360-1360*5^(1/2))/(-2)

(x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))) = 0

((x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))))/(x*(1360-x)) = 0

((x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))))/(x*(1360-x)) = 0 // * x*(1360-x)

(x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))) = 0

( x-((1360*5^(1/2)+1360)/(-2)) )

x-((1360*5^(1/2)+1360)/(-2)) = 0 // + (1360*5^(1/2)+1360)/(-2)

x = (1360*5^(1/2)+1360)/(-2)

( x-((1360-1360*5^(1/2))/(-2)) )

x-((1360-1360*5^(1/2))/(-2)) = 0 // + (1360-1360*5^(1/2))/(-2)

x = (1360-1360*5^(1/2))/(-2)

x in { (1360*5^(1/2)+1360)/(-2), (1360-1360*5^(1/2))/(-2) }

See similar equations:

| 1360/x=x/1360-x | | x^2-0.6=-0.06x | | -11=18/5 | | 5x+14=12-6 | | 6x+7(x-20)=8(7+x)+5x | | (4.7x+8.6)(3.7x-1.4)= | | 5(2x-8)=100 | | 2(9-y)=12 | | 25=2x-8x+1 | | y+2.65=8.64 | | 10(4+y)=120 | | y=-3-2x+2x^2 | | 2x+8=10x+48 | | -x(x+14)=-x^2-5x | | (4/9)x-(2/3)=0 | | 8+4=2 | | (4/9)x-(2/3) | | x^2+14x=x^2-5x | | 3X+7+9=30 | | (4x+36)=180 | | 5x+11=9x+3 | | (5/x)^3 | | (4x+36)=(96-x) | | 3y+7=4y+2y+6 | | 40+2x=30 | | -16=12z-100 | | 4/2=3/x | | 5y^2-2y-3= | | 2p-5=-5 | | 8=-2c+24 | | 4/2=9/c | | 25-35x=-25 |

Equations solver categories