z2+20z+64=0

Simple and best practice solution for z2+20z+64=0 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 z2+20z+64=0 equation:



z2+20z+64=0
We add all the numbers together, and all the variables
z^2+20z+64=0
a = 1; b = 20; c = +64;
Δ = b2-4ac
Δ = 202-4·1·64
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-12}{2*1}=\frac{-32}{2} =-16 $
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+12}{2*1}=\frac{-8}{2} =-4 $

See similar equations:

| (3x+14)=(3x+14)=142+2x+2x | | 10*x+4=164 | | 2/3(4x+10)=8 | | 8(4a-4)-1=14-8a(a=47/40) | | 10m^2-45m+45=0 | | 11x+-29=180 | | -20x+40=2(14-6x)+5x | | 4(-2)2+8(-2)+3(-2)+6=x | | 0.05n+0.15=0.4 | | (m/4)+3=-1 | | 5.5(6-x)+27=100-2.5(3x+20) | | 10x-17=700 | | 50/25x=20 | | 5x=143 | | -2(w+5)=-7w-40 | | 9y+15=-4(y+6) | | 9x+13=144 | | 121=-y+282 | | 244=-v+169 | | 151-v=246 | | -3(y+1)+7=4(y+1)=-7 | | 6=a- | | 452.16=4(3.14r)^2 | | 30-0.80x=14-1.20x | | -6(3x-1)+3x=3(x+6) | | 6+2(2w-4)=-2(5w-7)+2w | | 6+2(1w-4)=-2(5w-7)+2w | | 5(w-3)=-4w-24 | | 5(w-3)=4w-24 | | (5x-6)=(7x+12)=180 | | s-2=-3s+14 | | 4x-(2x-3)=5(1+2x) |

Equations solver categories