(X-6)^2/3=25

Simple and best practice solution for (X-6)^2/3=25 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)^2/3=25 equation:


X in (-oo:+oo)

((X-6)^2)/3 = 25 // - 25

((X-6)^2)/3-25 = 0

((X-6)^2)/3+(-25*3)/3 = 0

(X-6)^2-25*3 = 0

X^2-12*X-39 = 0

X^2-12*X-39 = 0

X^2-12*X-39 = 0

DELTA = (-12)^2-(-39*1*4)

DELTA = 300

DELTA > 0

X = (300^(1/2)+12)/(1*2) or X = (12-300^(1/2))/(1*2)

X = (10*3^(1/2)+12)/2 or X = (12-10*3^(1/2))/2

(X-((12-10*3^(1/2))/2))*(X-((10*3^(1/2)+12)/2)) = 0

((X-((12-10*3^(1/2))/2))*(X-((10*3^(1/2)+12)/2)))/3 = 0

((X-((12-10*3^(1/2))/2))*(X-((10*3^(1/2)+12)/2)))/3 = 0 // * 3

(X-((12-10*3^(1/2))/2))*(X-((10*3^(1/2)+12)/2)) = 0

( X-((10*3^(1/2)+12)/2) )

X-((10*3^(1/2)+12)/2) = 0 // + (10*3^(1/2)+12)/2

X = (10*3^(1/2)+12)/2

( X-((12-10*3^(1/2))/2) )

X-((12-10*3^(1/2))/2) = 0 // + (12-10*3^(1/2))/2

X = (12-10*3^(1/2))/2

X in { (10*3^(1/2)+12)/2, (12-10*3^(1/2))/2 }

See similar equations:

| 3[x-5]=2[x+5]6 | | -9-5+5x-4=x+2 | | x(7x+5)=2x^2-6x+36 | | 15.00(17.00+d)=555.00 | | 2(x-1)=-3x+8 | | x-(-42)=47 | | 6(y+-17)+12=-6 | | x+5.6=8.1 | | -13=5+9x | | M^2-16m+92=3 | | 7e^4x+4=8 | | 0.3x+2.8x=17.2-1.6+2.7x | | -3(q+29)+-3=39 | | 4.7+10m=6.53 | | 4k^2+24k=0 | | x^2+2x-21=24-2x | | 24+b=11 | | 0.2x=0.8 | | 0.3x+2.8x=17.2-16+2.7x | | K^2+6k-55=0 | | 1.11x-0=-6 | | 3m^4+6m^3= | | 60.54=3n+45.87 | | 12x=8+-4y | | 8x-1=2x+11 | | 0-10y=-6 | | 1.4x-0.5(x-9)=0.9(x-5) | | 5x-9=15*11x | | 2t-7+4t=37 | | x=06 | | 6x+1=1-4x | | b^2+12b+25=-7 |

Equations solver categories