3a^2-5a-138=0

Simple and best practice solution for 3a^2-5a-138=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 3a^2-5a-138=0 equation:



3a^2-5a-138=0
a = 3; b = -5; c = -138;
Δ = b2-4ac
Δ = -52-4·3·(-138)
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-41}{2*3}=\frac{-36}{6} =-6 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+41}{2*3}=\frac{46}{6} =7+2/3 $

See similar equations:

| 42=6f+6 | | n*7-6=15 | | 1/5m+3/4=1/4m-3/4 | | 46-3v=58 | | 14-6x=-2x+5(6x-4) | | -9(y+6)=6y+21 | | 10/x=72^2/36^2 | | 5(2x-3=45 | | 3b^2–20b–7=0 | | 3(3+2k)=16-k | | (n-8)*8=56 | | 6w^2=w+6 | | 5r-(r+3)-7=2r+6 | | 2-7x=-5x+9 | | 4^(2x+1)=10 | | 4^2x+1=10 | | -2g+(-4)=12 | | 13=(1÷6)+2x | | (11x-1)+36=90 | | 2x*8=208 | | 4(X+3)-5x=6x-8 | | −1/4x+5=3/4 | | −14x+5=34 | | 12x+5=4x+27 | | 4x+9=6=21 | | 0=14x^2-16x+6 | | -13x-16=133 | | 4a-25=3 | | 6x-6=2x+39=57 | | 6x-6=2x+39 | | x=6300+10x/100+15x/100=8400 | | 0=-4.9x^2+24.5x+4.9 |

Equations solver categories