3x2-3x-5=0

Simple and best practice solution for 3x2-3x-5=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 3x2-3x-5=0 equation: 



3x^2-3x-5=0

a = 3; b = -3; c = -5;
Δ = b2-4ac
Δ = -32-4·3·(-5)
Δ = 69
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{69}}{2*3}=\frac{3-\sqrt{69}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{69}}{2*3}=\frac{3+\sqrt{69}}{6}
$

See similar equations:

| 10q=70 | | -2t+6=3t+16 | | -3t+9=12 | | 6x-6+3x-3=12-8(4x-4) | | 5g=6=8g | | 3y-5=6y+6 | | 2(3x-7)+4(3x+2)=5(1x+9) | | 2y-7=4 | | 5/3x-2-1/4=0 | | 11x-6=-105 | | 3x÷2+0.25=5 | | 9x=4=31 | | 3x÷2+1/4=5 | | 9q=–10+10q | | |x-10|=1.5 | | 51=6x+9x-27 | | 11+5x(2(x-5)=8 | | 12÷3×4=x | | 25–12÷3×4=x | | x02/3=4/1 | | 5^2–12÷3×2^2=x | | 3{x+3}-x-2=17 | | -5t^2+20t-20=0 | | 20.46-14.92=2x | | 17=(6n+7)-(3n-10) | | 20.46-x=14.92 | | -15=-2t | | (x+2)/6+(x+6)/4=16 | | 63x+10=56 | | 4(-5-8k)=108 | | 2n+5n=280 | | 2x+253x=0 |

Equations solver categories