k^2-3k-6=0

Simple and best practice solution for k^2-3k-6=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 k^2-3k-6=0 equation: 



k^2-3k-6=0

a = 1; b = -3; c = -6;
Δ = b2-4ac
Δ = -32-4·1·(-6)
Δ = 33
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{33}}{2*1}=\frac{3-\sqrt{33}}{2}
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{33}}{2*1}=\frac{3+\sqrt{33}}{2}
$

See similar equations:

| 3(m-4)=25 | | 6x2-7x-5=0 | | 3x/2+x/5=0 | | X/5=10/x | | Y-2/3=y/3-2/3 | | 3v+40=500+v | | 7n+8=12 | | 3m+2/4=m-5/5 | | 2)4a+1)=10 | | 3(7x+2)-20=2(10x+1) | | 10x^2-3x=0 | | 99m-1=197 | | 3/20=x/100*12/25=12=300 | | 15x+3=-42 | | 3/20=x/100*12/25 | | 85^2x-3=7,225 | | 85^(2x-3)=7,225 | | (85)^(2x-3)=7,225 | | 120z-20=100 | | ((10)^4x)(27)=270000 | | (〖10〗^4x)(27)=270000 | | 2x/9+14x/27=4 | | 3-5x/7-x/4=1/2+5-4x/8 | | 9y/5=y-8 | | (225)4.05^x=12,117.95 | | (225)〖4.05〗^x=12,117.95 | | (225)〖4.05〗^x=12,117.95 | | 100=1.2x+20 | | 100=0.8x+40 | | (4x-1)=(x+7) | | 5x+7/2=3/2x–14 | | 5x+72=32x–14 |

Equations solver categories