0.5a^2+a-24=0

Simple and best practice solution for 0.5a^2+a-24=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 0.5a^2+a-24=0 equation:



0.5a^2+a-24=0
a = 0.5; b = 1; c = -24;
Δ = b2-4ac
Δ = 12-4·0.5·(-24)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-7}{2*0.5}=\frac{-8}{1} =-8 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+7}{2*0.5}=\frac{6}{1} =6 $

See similar equations:

| 7b+1)(b-5)=0 | | 99-5x=6x | | -4(6x-3)=-24x+12 | | -6z=13.25 | | 4+8=-2(5x-6) | | 5x+1=2−4x | | 2x-10+5+23=48 | | 2x(5x9)=2x5)x | | 14y-8=0 | | 1/8(x+16=76 | | 4/6x-8=3 | | 56+4m^2=120 | | 2(5x+9)=-50+48 | | -16x+13=20x+23 | | 14+8/n=120 | | 2x+1=46 | | 36b+8=12b+48 | | 6x2-53x=9 | | 5x+15=53+143 | | 4(4x-9)=44 | | 4(2x+6)=-36+20 | | 2-2v=-3v+4 | | 5x+15=53+1 | | D/15+600+d/9=720 | | -3k-5=-14 | | 3(x+5)-5=2-x | | 2x-2=14-x | | (4/7x+28)=(8/x+4)-2/7 | | 2x-4=148 | | 13=5–13+3a | | 4(x+2)+2x=4+5x | | 2/4=x/30 |

Equations solver categories