*x2/3=360

Simple and best practice solution for *x2/3=360 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 *x2/3=360 equation:



*x2/3=360
We move all terms to the left:
*x2/3-(360)=0
We multiply all the terms by the denominator
*x2-360*3=0
We add all the numbers together, and all the variables
x^2-1080=0
a = 1; b = 0; c = -1080;
Δ = b2-4ac
Δ = 02-4·1·(-1080)
Δ = 4320
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{4320}=\sqrt{144*30}=\sqrt{144}*\sqrt{30}=12\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{30}}{2*1}=\frac{0-12\sqrt{30}}{2} =-\frac{12\sqrt{30}}{2} =-6\sqrt{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{30}}{2*1}=\frac{0+12\sqrt{30}}{2} =\frac{12\sqrt{30}}{2} =6\sqrt{30} $

See similar equations:

| 77x-x=304 | | 7.66=-22.73+m | | (s+6)+(s+6)+2s+s+s=102 | | (5x+4)°=89° | | y/1.2=24 | | y-7=200 | | w+3.8=7.28 | | 66x+3x=345 | | 7(x+2)+4=7x+5 | | 6z=13 | | 4(u-3)-9=-5(-4u+7)-8u | | 6c-13=47 | | 3w-3=-3(w-7) | | 3.8x=57 | | 18=3(u+2)-5u | | 314+x=700 | | -9(w-1)=-4w+49 | | 3(w-2)-7w=26 | | -8+2y=-6-2 | | 15x/(x+10)=5 | | 15x/(x+10)=0 | | 9=2-m=7 | | -8v+5(v-6)=-39 | | 3/4(x-18)=27 | | 1/2a+a=3 | | 6(3-8c)=-31 | | 3x^2-72x+81=0 | | 9a+7=12a-2 | | 63=13-7/12a | | 5x+x=43 | | 5x/2=(3+24)/6 | | -2x/x+3=2/3 |

Equations solver categories