x+5x2=14

Simple and best practice solution for x+5x2=14 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 x+5x2=14 equation:



x+5x^2=14
We move all terms to the left:
x+5x^2-(14)=0
a = 5; b = 1; c = -14;
Δ = b2-4ac
Δ = 12-4·5·(-14)
Δ = 281
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{-(1)-\sqrt{281}}{2*5}=\frac{-1-\sqrt{281}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{281}}{2*5}=\frac{-1+\sqrt{281}}{10} $

See similar equations:

| -16=8u+8(u-8) | | 3=3(v+7)+6v | | 3(2x+3)+2=-4x+21 | | 2.64=f-8.59/3 | | 2.1+10m=7.37 | | 4(4.23+1.25h)=5.91 | | 2n=1,024 | | (z+4)=35 | | 7x–5=3x+21 | | m/5+24=31 | | 5(x+7)+2=4(x-4)+1 | | 1/3(18-27t)-3=12 | | -2(3+6x)=66 | | 2x5+250x2= | | -2(-4n-3)-5n+3=-3 | | w–2=7w–4 | | 6t+10=16 | | 4(3j-2)+9=4 | | 60+40+4x=180 | | 65*(1+g)^2=78 | | 2/3x-5/8x=25 | | 2/3x-5/8=25 | | 3x+2(x-3)=4 | | -1(2x+2)-10x=34 | | 7x+42=7x+6 | | -3q+6-9q=-10q-10 | | 156+3/(x+5)=30 | | 400=30(8.75)+11x= | | 4/5k+8=10 | | m2+3=51 | | 1/8y-1=-1 | | 6(3m-1)=1/2(18m-12) |

Equations solver categories