1/2(x-5)^2=9

Simple and best practice solution for 1/2(x-5)^2=9 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 1/2(x-5)^2=9 equation: 


x in (-oo:+oo)

(1/2)*(x-5)^2 = 9 // - 9

(1/2)*(x-5)^2-9 = 0

1/2*(x-5)^2-9 = 0

1/2*(x-5)^2-9 = 0

1/2*x^2-5*x+7/2 = 0

1/2*x^2-5*x+7/2 = 0

1/2*x^2-5*x+7/2 = 0

DELTA = (-5)^2-(1/2*7/2*4)

DELTA = 18

DELTA > 0

x = (18^(1/2)+5)/(1/2*2) or x = (5-18^(1/2))/(1/2*2)

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

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

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

( x+3*2^(1/2)-5 )

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

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

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

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

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

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

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

x in { 5-(3*2^(1/2)), 5-(-3*2^(1/2)) }

See similar equations:

| -7b-3b=10 | | -8=x+9 | | 3(x-5)=(99/11) | | .5+12x=1 | | 3(m-23)=8-2(m-4) | | 4w+6x-13y+5w+9x+6y= | | -15=9-5x+11x | | 5x/9=-15 | | x+3=10-2 | | x-6/4=-4 | | 20x+200=25x-82 | | 4x^2+24x-15=0 | | 7x+1=10+10 | | 0.46+9.2=10 | | 18-x/5=13 | | 5x+(6/13)-4x=(9/26) | | 2x+21=12x-49 | | 7z-10z=24 | | 11x-5=8x-4 | | 2x+42-6x=1-8x+5 | | 16-7n=-68 | | 2-4(x+3)=6x-10 | | 3/4*8/11 | | (x-2)2=16 | | 3r^2+15r=18 | | 35y+63= | | 3/11+(-7/9) | | 30(58-6.5x)=14(6x-8)+66.4 | | 4x-3-2x-6=0 | | 5+6a=35 | | 3(m-2)-4=4(m-6) | | 5x(x+1)(x-1)=0 |

Equations solver categories