1/8(x-3)^2=5

Simple and best practice solution for 1/8(x-3)^2=5 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 1/8(x-3)^2=5 equation: 


x in (-oo:+oo)

(1/8)*(x-3)^2 = 5 // - 5

(1/8)*(x-3)^2-5 = 0

1/8*(x-3)^2-5 = 0

1/8*(x-3)^2-5 = 0

1/8*x^2-3/4*x-31/8 = 0

1/8*x^2-3/4*x-31/8 = 0

1/4*(1/2*x^2-3*x-31/2) = 0

1/2*x^2-3*x-31/2 = 0

DELTA = (-3)^2-(-31/2*1/2*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)+3)/(1/2*2) or x = (3-40^(1/2))/(1/2*2)

x = 2*10^(1/2)+3 or x = 3-2*10^(1/2)

1/4*(x+2*10^(1/2)-3)*(x-2*10^(1/2)-3) = 0

1/4*(x+2*10^(1/2)-3)*(x-2*10^(1/2)-3) = 0

( x+2*10^(1/2)-3 )

x+2*10^(1/2)-3 = 0 // - 2*10^(1/2)-3

x = -(2*10^(1/2)-3)

x = 3-(2*10^(1/2))

( x-2*10^(1/2)-3 )

x-2*10^(1/2)-3 = 0 // + -2*10^(1/2)-3

x = -(-2*10^(1/2)-3)

x = 3-(-2*10^(1/2))

x in { 3-(2*10^(1/2)), 3-(-2*10^(1/2)) }

See similar equations:

| 7w=7w | | x^8+15x^4=16 | | 0.5(2t+3)=0.6(6t+1) | | 3x+20/5+x+27/4=15 | | 6m=4m*60 | | 15x-x= | | -5(1-5)+5(-8-2)=-4x-8x | | 12x+8y=32 | | 24-(3+2)x(7-3)= | | 6(2m-3)-4=6m-4 | | 5(3-2z)=28+3z | | b-5+7b=18 | | 17x+(-9x)= | | y=3/2x | | m/9=-15 | | 7-28t^2=0 | | x-9/7+9/7=-x/5 | | 12x^3-52x^2-40=0 | | -5/3n=-15 | | (6x+14)-(9x+5)=0 | | -5+7(x-5)=12x+6-5x | | 17+x=27-x | | 5a+6b+7a= | | -5/7x=20 | | 4.9x^2-12x=0 | | 7/3*3/49 | | 0.7-1.5+7.3n=14.5 | | 5-8n=13 | | 12+4y=8(y-1) | | y-y^2=8 | | 37=h/-2 | | -3x+15x-10=3(3x+x) |

Equations solver categories