19x2-20x+5=0

Simple and best practice solution for 19x2-20x+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 19x2-20x+5=0 equation:



19x^2-20x+5=0
a = 19; b = -20; c = +5;
Δ = b2-4ac
Δ = -202-4·19·5
Δ = 20
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{20}=\sqrt{4*5}=\sqrt{4}*\sqrt{5}=2\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-2\sqrt{5}}{2*19}=\frac{20-2\sqrt{5}}{38} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+2\sqrt{5}}{2*19}=\frac{20+2\sqrt{5}}{38} $

See similar equations:

| (x+1)2−x2=17 | | 19x2-20+5=0 | | x*13=24 | | w2−3=0.8 | | y+6−2=−10 | | 30x2-21x+3=0 | | 3a-9=13 | | 935=1.05*x | | 30x2-21+3=0 | | 6n=12n-54 | | -81x2+18x-9=0 | | P=2,320(1.2)^x | | 24÷(x–4)=3 | | 34x-15x+7=0 | | 34x2-15x+7=0 | | -3q+5=8 | | 6x*1=6x | | -5(x-3)=2(x+3)-12 | | 6x+1x=6x^2 | | 32.5-y=18 | | -12x2+25x+1=0 | | 7-2x=37-x | | 1/4n-2=6 | | 3a-9a=-4a=0 | | 3x-9+5x+4=32 | | 17x2-20x+10=0 | | f-16.86=3.087 | | 13-4x=21-5x | | x+138=48+x | | 7x+14=-20+6x | | -6x+30=3(x+7) | | -5x2+32x-6=0 |

Equations solver categories