x^2-6x-16/x^2+6x+8

Simple and best practice solution for x^2-6x-16/x^2+6x+8 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^2-6x-16/x^2+6x+8 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

x^2-(6*x)+6*x-(16/(x^2))+8 = 0

x^2-6*x+6*x-16*x^-2+8 = 0

x^2-16*x^-2+8 = 0

t_1 = x^2

1*t_1^1-16*t_1^-1+8 = 0

1*t_1^1-16*t_1^-1+8*t_1^0 = 0

(1*t_1^2+8*t_1^1-16*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2+8*t_1^1-16*t_1^0) = 0

t_1^1

t_1^2+8*t_1-16 = 0

t_1^2+8*t_1-16 = 0

DELTA = 8^2-(-16*1*4)

DELTA = 128

DELTA > 0

t_1 = (128^(1/2)-8)/(1*2) or t_1 = (-128^(1/2)-8)/(1*2)

t_1 = (8*2^(1/2)-8)/2 or t_1 = (-8*2^(1/2)-8)/2

t_1 in { (-8*2^(1/2)-8)/2, (8*2^(1/2)-8)/2}

t_1 = (-8*2^(1/2)-8)/2

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

1*x^2 = (-8*2^(1/2)-8)/2 // : 1

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

t_1 = (8*2^(1/2)-8)/2

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

1*x^2 = (8*2^(1/2)-8)/2 // : 1

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

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

abs(x) = ((8*2^(1/2)-8)^(1/2))/(2^(1/2))

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

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

See similar equations:

| (-7u^2+4u-3)+(5u^2+u+6)= | | M/6=8 | | (3t/4) | | (-5v^2+v-3)+(4v^2+6v+2)= | | 32-w=21 | | R-11=20 | | (-5v^2+4-3)+(4v^2+6v+2)= | | P+5=14 | | 19x+9y=300 | | (-2u^2+3u)+(-6u^2-4u+1)= | | N-4=21 | | 4.9090990909= | | 6+p=12 | | y=3/4x-3/2+6/4 | | 6x+2=(x+7)+(x-5) | | 14-x=6 | | y=34/x-3/2+6/4 | | y=7/8x-7/4+20/4 | | 6d-1-3d=55+2d | | 11(x+4)-3x=4(2x+2)-10 | | 30=t-12 | | (4x^2+34x+40)/(x+7) | | 3d+4-(-2d)=5d+33 | | -14x+3(x-4)+7x=5x-12 | | 3d-4+(-2d)=5d+33 | | 2x+2(x-5)=3x-5 | | (3x/4)-(2x/5)=1 | | y-5=7/8x-7/8-2 | | 15x-8x=1 | | -2x-2=20-2 | | 12. 3(4x-1)=21 | | 5x+8=4-(7x-5) |

Equations solver categories