5*x^2-16*x+11=0

Simple and best practice solution for 5*x^2-16*x+11=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 5*x^2-16*x+11=0 equation: 



5x^2-16x+11=0

a = 5; b = -16; c = +11;
Δ = b2-4ac
Δ = -162-4·5·11
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-6}{2*5}=\frac{10}{10}
=1
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+6}{2*5}=\frac{22}{10}
=2+1/5
$

See similar equations:

| x+2=2–7x | | -3+y/3=12 | | 5x+2+14x-7=90 | | 5x−18=3x+42∘ | | 1.4x+1.5-0.2x+0.5=11+0.6x | | x/20+5x/16=x/12 | | -6(1+k)+2(1+6k)=k-5+5k+1 | | 2q=60 | | 4.9x^2=700 | | -2s+(-14s)+(-2s)+19s=15 | | x+28=41 | | 149=263-x | | −7(7+3p)=−91 | | 2(3+2x)=-12–2x | | 1200/20=r | | -11=b+{-17} | | 113=-y+187 | | 5x-3.50(x+100)=2517.50 | | 176/16=h | | (-5k)+7k+(-14k)+(-3k)+19k-9=7 | | 9(7m+2)=0 | | 3b-4=1=(2b+5) | | 3f=–4f+7f | | 46y=920 | | -x+42=222 | | X+4*3x+2=90 | | 4j=-4 | | 17=x+14 | | 4x+22=3(6x-2) | | v+5=-13 | | 4(1-x)+3x=-2x(x+1) | | x^2+3x=(-2) |

Equations solver categories