X2+u2=120

Simple and best practice solution for X2+u2=120 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+u2=120 equation:



X2+X2=120
We move all terms to the left:
X2+X2-(120)=0
We add all the numbers together, and all the variables
2X^2-120=0
a = 2; b = 0; c = -120;
Δ = b2-4ac
Δ = 02-4·2·(-120)
Δ = 960
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:
$\sqrt{\Delta}=\sqrt{960}=\sqrt{64*15}=\sqrt{64}*\sqrt{15}=8\sqrt{15}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{15}}{2*2}=\frac{0-8\sqrt{15}}{4} =-\frac{8\sqrt{15}}{4} =-2\sqrt{15} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{15}}{2*2}=\frac{0+8\sqrt{15}}{4} =\frac{8\sqrt{15}}{4} =2\sqrt{15} $

See similar equations:

| -32=-24u | | 2(2x+6)=-6(x+9) | | 2(2d+3)+1=27 | | x-8(4x-8)=160 | | 2.5x+1.2=1.2x+7.7 | | 5y+15=y | | p4=12 | | 56=x14 | | 6x-25+4x=45+3x-7 | | 160-x=270 | | X=2(-2x)15 | | 10r-5r+3=48 | | 8x-1913=4 | | 3x–4=2 | | r10+4=52) | | B+6bb=7 | | 9+8y+2y=39 | | x2-5=x+6.5 | | 3m^2+16m-12=0 | | –8=–3x+4 | | 5h+6h-4=40 | | 2)x+4)=30 | | 48=-16g+8 | | 17x-70=x | | v/4+2=2 | | 9f-2f=42 | | 48=-6-2y | | 18+2x=3.x-1 | | 8=5-x/3 | | 7a+7a+1=43 | | 7x+28=94 | | 7(5-6b)=-5(6b-7) |

Equations solver categories