t^2+6t-72=0

Simple and best practice solution for t^2+6t-72=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 t^2+6t-72=0 equation: 



t^2+6t-72=0

a = 1; b = 6; c = -72;
Δ = b2-4ac
Δ = 62-4·1·(-72)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$


$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-18}{2*1}=\frac{-24}{2}
=-12
$


$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+18}{2*1}=\frac{12}{2}
=6
$

See similar equations:

| 5y+14=21 | | 4x+1-2x=7 | | x^2+2x-0.64=0 | | 86=2n-(4-3n) | | 8.3333÷x=2.33333÷9.1 | | 2x-400=1,200 | | k−(−65​)=−6/1​ | | k−(−65​ )=−6/1​ | | k−(−65​ )=−6/1​ | | 5-(4x-6)=3x-10 | | -4+9x=-49 | | -w+206=118 | | y-4=2y-14 | | 2x+45=3x+20 | | 5x-15=2x=21 | | 12+3x=7x-4 | | 6-6m+6-4=2 | | 5(n+2)=-17-4n | | 2b-3=0.3 | | 5.6x+900=31.36+30x | | 4x+30=8x-6 | | 1/3(6/7-2x)-3/7=6/7 | | 60=4^2x | | 15x+1=18x-15 | | 5x+1=18x-15 | | 90x-500=40x+500 | | X-8x+11=-10 | | 5x-2-x=9x+3x+10 | | 32x+3=4⋅2x | | -1.2x+2.5=0.8x+6.5 | | 5(n+2)=-7-4n | | 3n-13=23 |

Equations solver categories