4x2-5x-3=0

Simple and best practice solution for 4x2-5x-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 4x2-5x-3=0 equation: 



4x^2-5x-3=0

a = 4; b = -5; c = -3;
Δ = b2-4ac
Δ = -52-4·4·(-3)
Δ = 73
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{-(-5)-\sqrt{73}}{2*4}=\frac{5-\sqrt{73}}{8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{73}}{2*4}=\frac{5+\sqrt{73}}{8}
$

See similar equations:

| 1/14(a-3)=2/7(a+6)-1/7a | | 23x+16x+2+26=180 | | 10x-4=-4+10 | | 32=-5(y+4)+3(y+2) | | 8/17d=1/2 | | 3b×4=15 | | 3=f/11-9 | | 10x—4=-4+10x | | 252/j=14 | | 1/4(a-3)=2/7(a+6)-1/7a | | k/14-5=-2 | | N=2n+13 | | 15n-12n=n=2 | | 26(169-t^2)=0 | | X^3-5x=27 | | 12=22-u | | x2+19x+90=0 | | w/6-4=4 | | 5^(x/13)+1=7 | | 8f-12=36 | | 2x2+19x–9=0 | | 10y+26=76 | | 6x-5=18-3x | | 11=88÷c | | 9=45/f | | 13-21t=3(4-2t) | | -1.749x^2+32.276x-102.146=0 | | x=2/3/9/10 | | 20-2x=6+2x | | x-2/4=5/x+2 | | 5/14b=1/2 | | w^2+4w+4=+ |

Equations solver categories