11x2-2x-3=0

Simple and best practice solution for 11x2-2x-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 11x2-2x-3=0 equation:



11x^2-2x-3=0
a = 11; b = -2; c = -3;
Δ = b2-4ac
Δ = -22-4·11·(-3)
Δ = 136
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:
$\sqrt{\Delta}=\sqrt{136}=\sqrt{4*34}=\sqrt{4}*\sqrt{34}=2\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{34}}{2*11}=\frac{2-2\sqrt{34}}{22} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{34}}{2*11}=\frac{2+2\sqrt{34}}{22} $

See similar equations:

| 3x218=x2 | | x+3=14x= | | 18x4+9x–27x2= | | 5+x=6+10 | | 3(4p-2)=2(2p-23) | | (5y2-25)=0 | | 3x3-2x2-15*15x=0 | | 4(5j-6)=4(6j+9) | | –x+4=-2x–3 | | 30/6-4x/6=4x+1/6 | | 5(2x+2)=2(x-11) | | 4(5j-6=4(6j+9) | | 3(2n+10)=2(n+25) | | 3(2n+10=2(n+25) | | 0,5x–0,2=4 | | 5(a+6)=3(a+16) | | x^2-16^2=0 | | 3x11-4=7 | | 52+32x=180 | | 14−9=2x+3x | | 1600+x=3000 | | 17x2–23*15x=0 | | 3000x-1600x=x | | -0,008x^2+0,36x=0 | | 0,5x=2,4 | | 2y=–8 | | (8-2x)+(4x-5)=17 | | (3x+5)(4x-3)=12×12+11x-15 | | 3^2x-1-12.3^x+18=0 | | B+14b=-5 | | 5-2x/3=4x+1/6 | | 2x+15=4x+15 |

Equations solver categories