0=20+20t-12t2

Simple and best practice solution for 0=20+20t-12t2 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 0=20+20t-12t2 equation:



0=20+20t-12t^2
We move all terms to the left:
0-(20+20t-12t^2)=0
We add all the numbers together, and all the variables
-(20+20t-12t^2)=0
We get rid of parentheses
12t^2-20t-20=0
a = 12; b = -20; c = -20;
Δ = b2-4ac
Δ = -202-4·12·(-20)
Δ = 1360
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1360}=\sqrt{16*85}=\sqrt{16}*\sqrt{85}=4\sqrt{85}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{85}}{2*12}=\frac{20-4\sqrt{85}}{24} $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{85}}{2*12}=\frac{20+4\sqrt{85}}{24} $

See similar equations:

| x-3/14=3/7 | | 2(5x-8)+7=6.1 | | -7n+-21-8+64n=0 | | 2x-1-4=7-x | | 22=x+2+x | | -6n-20=-2n+4(1-3n | | 16/v=-4 | | x-24=6x | | |8+x|=2x-3 | | 4g-1=5g+8 | | 8+4-x=x-2 | | -19r+7r=12 | | T=2s+4.43 | | -14x+2=10 | | 5a-(8+9)=4a-10 | | 9+5y=-7+3y | | 1/2b-5/8=3/4b+3/8 | | 1x-63=1x | | 5x-4x-7=3 | | 132+6x=25x-1 | | 1=2(m-7)+5 | | 0=x^2-4x-100 | | ((2/9x)+(1/4))=((67/18x)-(1/3)) | | 5y2-5y−150=0 | | 5/9(-13-32)=c | | 1.03y–4=8.72-2.15y | | 4×+154=m | | 4x+9x=13 | | 0.5s=7+4.5s | | 17+8x-2x=43+5x | | 3+5x-15=-2 | | 9y+3+3y+4=16y-13 |

Equations solver categories