3z^2-7z-1=0

Simple and best practice solution for 3z^2-7z-1=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 3z^2-7z-1=0 equation: 



3z^2-7z-1=0

a = 3; b = -7; c = -1;
Δ = b2-4ac
Δ = -72-4·3·(-1)
Δ = 61
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{61}}{2*3}=\frac{7-\sqrt{61}}{6}
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{61}}{2*3}=\frac{7+\sqrt{61}}{6}
$

See similar equations:

| 40=3x+40 | | 6x^2+5x=40 | | (5u^2)+(-50)=0 | | (5u^2)+(-50)=01 | | 363x=2 | | 544/36*x=14 | | 9c-7=-61 | | 4m=-56 | | m-8=32 | | 2/x2=3 | | 19-10z=9z | | 2/8x+16=20 | | 30C4*(1/5)^4*(4/5)^4=x | | 2b-14=84 | | 5x^2+13x=1 | | 2x^2-(9x)=221 | | 5x+25=250-100 | | 7×12=a×4 | | 12x=10x+4 | | 3(a-1)-4a=5-2(a+1) | | 3+.05x=24 | | 3y(4y+11)-9=0 | | 3x+40=8x-60 | | -3/x-17=7 | | -2v-8=-4(v+4) | | -6s=-108 | | ((x2-6)/2)-((x2+4)/4)=5 | | 6{w+3}=72 | | 2+6*n=32 | | 2*n-4=10 | | 7n+6n=26 | | (10-p)/10=1/2 |

Equations solver categories