8-104+2y2=16

Simple and best practice solution for 8-104+2y2=16 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 8-104+2y2=16 equation:



8-104+2y^2=16
We move all terms to the left:
8-104+2y^2-(16)=0
We add all the numbers together, and all the variables
2y^2-112=0
a = 2; b = 0; c = -112;
Δ = b2-4ac
Δ = 02-4·2·(-112)
Δ = 896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{896}=\sqrt{64*14}=\sqrt{64}*\sqrt{14}=8\sqrt{14}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{14}}{2*2}=\frac{0-8\sqrt{14}}{4} =-\frac{8\sqrt{14}}{4} =-2\sqrt{14} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{14}}{2*2}=\frac{0+8\sqrt{14}}{4} =\frac{8\sqrt{14}}{4} =2\sqrt{14} $

See similar equations:

| (3x+1)(x-2)-(5x-2)(2x-1)=16-(7x+3)(x+2) | | x+290=3x-30 | | 2x+1+3x+18=34 | | 108÷(x÷9)=12 | | 4x-3x=+5-10 | | ,5p=100 | | X²-7x+48=0 | | (4x+5)/3=12 | | 12+1.5x=16+0.50x | | 12x+1.5x=16+0.50 | | 12x+1.5x=16x+0.50x | | 1/2x+4=2/3×+1 | | X-2y=3000000 | | (2x+1)(x-2)=133 | | 1/20=1/u-1/2.5u | | (3x-1)(x-3)-(4x-5)(3x-4)=6(x-7)-(3x-5)^2 | | (-75-24y)=1 | | (-75-24y)÷9=1 | | -75-24y=1 | | Y=33x-95 | | 8x-37=60 | | (1/2)^(x/29)=0.1 | | X=(180-x)5 | | X=3x+20+4x-36 | | 2+5(8-5)=x | | 4n–40=7(-2n+2)* | | (X-5)^2-(2x+1)^2=-55 | | |10n+5|=≤15 | | 45-3x=3x-9 | | x*1.7=12 | | 9(4x-1)/2x=10 | | 8=(x-416)=5 |

Equations solver categories