4x2-5x-2=0

Simple and best practice solution for 4x2-5x-2=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-2=0 equation: 



4x^2-5x-2=0

a = 4; b = -5; c = -2;
Δ = b2-4ac
Δ = -52-4·4·(-2)
Δ = 57
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{57}}{2*4}=\frac{5-\sqrt{57}}{8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{57}}{2*4}=\frac{5+\sqrt{57}}{8}
$

See similar equations:

| -8x+18=-5x+30 | | -3x-17=-29 | | -x+22=-5x+34 | | 4x3-5x-2=0 | | -3x-14=-5x-8 | | H=-16t^2+(43.89)t+34.14 | | -5x/3=-5 | | 4a²-36=0 | | H=16t^2+(43.89)t+34.14 | | 3b2=5 | | 5(x−2)=−2(1.5x+5) | | 3^X.9^y=81 | | 2x0.5x100=x | | 18x²+3x-1=0 | | 3m+8=20-m | | 338x-(4x-4)=3x+4 | | x=(8-2x)(6-2x)(x) | | 20x+150=250 | | 5x+150=250 | | –5=3(c−10)−5 | | 11x/4=9 | | -2-5y=12 | | -9(x+3)=4x-3 | | 81^2x+1=9^5x+1 | | 5(x-2)=-2(10-x)+4x | | r²+10r+16=0 | | 7y+25=6y−511 | | 95=y-41 | | x-x(7/100)=580 | | -300=6(6-7x) | | d^2=1/4 | | m+42=74 |

Equations solver categories