Y=X2+4x+2

Simple and best practice solution for Y=X2+4x+2 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 Y=X2+4x+2 equation:



=Y2+4Y+2
We move all terms to the left:
-(Y2+4Y+2)=0
We add all the numbers together, and all the variables
-(+Y^2+4Y+2)=0
We get rid of parentheses
-Y^2-4Y-2=0
We add all the numbers together, and all the variables
-1Y^2-4Y-2=0
a = -1; b = -4; c = -2;
Δ = b2-4ac
Δ = -42-4·(-1)·(-2)
Δ = 8
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:
$\sqrt{\Delta}=\sqrt{8}=\sqrt{4*2}=\sqrt{4}*\sqrt{2}=2\sqrt{2}$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2\sqrt{2}}{2*-1}=\frac{4-2\sqrt{2}}{-2} $
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2\sqrt{2}}{2*-1}=\frac{4+2\sqrt{2}}{-2} $

See similar equations:

| 19-19c=-12c-9c-15 | | 32=x+43/2 | | n^2-12n+6=0 | | 33+2x=5x+9 | | 1.2+2x-3x-0.8=0 | | 14+3(2x-5)=17 | | 2+3x=-2(-2x+6) | | 50=-6m-10 | | -3(y+6)+4y=-17 | | -3x+-9=15-6x | | 15+6x+11=-2x=20+4x | | 2x2-28+90=0 | | 4+5/8x+6-3/8x=22 | | 8.94-9.5g=-3.2g-6.74-7.1g | | -3+-9=15-6x | | 2x-5+5x+52=180 | | -8-14z=-15z | | Y=100x+10x™10 | | 3/4y=50 | | 17-5-12=6-2x+12 | | 6^x=19 | | 2x-3+2x-12+x=180 | | 9+17+13j=15j-12 | | -4+2x=196 | | 5x−13=15+7x | | 8x-10-4x=-30 | | 2x-5=5x+52 | | -20+15f=20f+10 | | 7(z+5)-3z=71 | | X2-2x=6 | | 4(2a+5)=10+a | | 18x-6-x=-23 |

Equations solver categories