2a^2-7a-3=0

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



2a^2-7a-3=0

a = 2; b = -7; c = -3;
Δ = b2-4ac
Δ = -72-4·2·(-3)
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{73}}{2*2}=\frac{7-\sqrt{73}}{4}
$


$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{73}}{2*2}=\frac{7+\sqrt{73}}{4}
$

See similar equations:

| 3x-4=9x-52 | | 3.50+2x=30 | | 3x+21+6x-13=x-4 | | 6y²+5y+1=0 | | 3x21+6x-13=x-4 | | 12x+20=4(2x-7) | | .3(4x+7)=2.5x+6= | | X-0.35x=1,274 | | 33=5x+8 | | 8.9x+28.97=-11.1x+28.85 | | 6x-3(x-4)=27 | | 8.9x+38.97=-11.1x+28.85 | | 5y-11=-3(y-7) | | 3m^2+6m-1=0 | | 17x-9(x+4)=-2(x-26) | | 5*4x-8=2x | | X^3+12-3x^2-4x=0 | | n−7=9 | | n÷7=3n | | 2y-18y=64 | | 7j(j-3)=4(3-j) | | 9p^2-24p+13=0 | | 440=4/5x | | 5n^2+9n-9=0 | | 5d−8=3+7d | | 0.3x+138.3=180 | | 4f^2+9f-9=0 | | (w-5)+(w-8)=w+39 | | 8(4y+3)=120 | | x^2+1296=x^2 | | h=5.1 | | 3s^2+8s+1=0 |

Equations solver categories