16/x^2=17-x^2

Simple and best practice solution for 16/x^2=17-x^2 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 16/x^2=17-x^2 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)

16/(x^2) = 17-x^2 // - 17-x^2

x^2+16/(x^2)-17 = 0

x^2+16*x^-2-17 = 0

t_1 = x^2

1*t_1^1+16*t_1^-1-17 = 0

1*t_1^1+16*t_1^-1-17*t_1^0 = 0

(1*t_1^2-17*t_1^1+16*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-17*t_1^1+16*t_1^0) = 0

t_1^1

t_1^2-17*t_1+16 = 0

t_1^2-17*t_1+16 = 0

DELTA = (-17)^2-(1*4*16)

DELTA = 225

DELTA > 0

t_1 = (225^(1/2)+17)/(1*2) or t_1 = (17-225^(1/2))/(1*2)

t_1 = 16 or t_1 = 1

t_1 in { 1, 16} 

t_1 = 1

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

t_1 = 16

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 1, -1, 4, -4 }

See similar equations:

| -10(s+4)=-68 | | 3=log(5t) | | j-8=t-4 | | 5(4s+10)=110 | | 2x-(5-x)=7 | | fx=x^2+8x-20 | | 7x-343x*x= | | 5(a-1)=45 | | (u+1)*10=50 | | -39.2=4.9 | | (q-9)*2=8 | | 2x-(5x)=7 | | 630.0096=2*3.14*4.4*4.4+2*3.14*4.4*h | | k-9+5k=45 | | -3.66+7.32=1.83x | | 5(2x-1)-15=3(4x+2)4 | | x^2-x=21/4 | | 4+3n=5+4n | | 8+6y=56 | | 25-3x=15 | | 7+13s-3=9s+46-3s | | 0.25x-6=0.67x+3 | | (8y-2)/(y^2-49) | | 1000/15X^2 | | 5(y+1)=3(3y+12) | | 8y+1=-79 | | 9n-5=4n+35 | | 5h+9=-2h+30 | | 5x+9=6rx+7 | | 56+3f-6+2f+8+(3d-2)=360 | | 3(2x+6)=4(x+8) | | X^2+2x-8=3 |

Equations solver categories