(x-6)^2/5=9

Simple and best practice solution for (x-6)^2/5=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 (x-6)^2/5=9 equation:


x in (-oo:+oo)

((x-6)^2)/5 = 9 // - 9

((x-6)^2)/5-9 = 0

((x-6)^2)/5+(-9*5)/5 = 0

(x-6)^2-9*5 = 0

x^2-12*x-9 = 0

x^2-12*x-9 = 0

x^2-12*x-9 = 0

DELTA = (-12)^2-(-9*1*4)

DELTA = 180

DELTA > 0

x = (180^(1/2)+12)/(1*2) or x = (12-180^(1/2))/(1*2)

x = (6*5^(1/2)+12)/2 or x = (12-6*5^(1/2))/2

(x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)) = 0

((x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)))/5 = 0

((x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)))/5 = 0 // * 5

(x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)) = 0

( x-((12-6*5^(1/2))/2) )

x-((12-6*5^(1/2))/2) = 0 // + (12-6*5^(1/2))/2

x = (12-6*5^(1/2))/2

( x-((6*5^(1/2)+12)/2) )

x-((6*5^(1/2)+12)/2) = 0 // + (6*5^(1/2)+12)/2

x = (6*5^(1/2)+12)/2

x in { (12-6*5^(1/2))/2, (6*5^(1/2)+12)/2 }

See similar equations:

| 5x-28=x+-2 | | 5+8b-6= | | 2x/3-8=x=7 | | X/2(6x/2-3x-1 | | 16x+6y=-11 | | 3(3x+8)-8= | | 4x-y+1=4x-2 | | 60p-5=31 | | 196*x=28 | | 6=2(y+2)6 | | a+2=3+2 | | 65-5x= | | -0.8(a+12)=0.4(a-15) | | 15x-3y=4 | | 56=1/4h | | (100-25y^2)/4 | | 2/3t=2/5 | | 3t+-15=-15+t | | .35t+0.65(10-t)=0.87(10) | | 7+Y=7y | | 459/47(51-x)-9/47 | | 6*x*2x=126 | | 5x^2+2x-115=0 | | 5.2=0.5x+4 | | 2R^2+12R+18=0 | | 8(2x+1)=4x+3+3x+4 | | 6*2x^2=126 | | 8x+1=8x-x | | (x+8)+(x-3)=62 | | K+18=26 | | 15(10p-7)13p=58 | | 1/2x-1/3=3/4 |

Equations solver categories