4r^2+r-2=0

Simple and best practice solution for 4r^2+r-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 4r^2+r-2=0 equation: 



4r^2+r-2=0

a = 4; b = 1; c = -2;
Δ = b2-4ac
Δ = 12-4·4·(-2)
Δ = 33
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{33}}{2*4}=\frac{-1-\sqrt{33}}{8}
$


$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{33}}{2*4}=\frac{-1+\sqrt{33}}{8}
$

See similar equations:

| -6x^2+4x+16=0 | | 12=6x+2x+8 | | x^2-12x+46=5 | | 2x=x-6=2x-9 | | 3x+154=354 | | 3x+154=355 | | -5x/9+2=-1/6 | | 20+15x=125 | | 3x-6=2x-1+25 | | 114+28x+2=180 | | 3x-6=2x-1=25 | | 137+x+130=180 | | 3x/5+x/2=222 | | 50+x+135=180 | | 9x+6+10x=18” | | 6x-1+65=180 | | 8x-12-6x-8=180 | | 8x-12-6x+8=180 | | 6(x-50)+14=98 | | 650x=100x-800 | | 5x+13+23=180 | | 132/x=-86 | | 44/x=-328 | | 5n^2+9n-10000=0 | | 3u=445 | | 8x-3=16-33 | | 4/x+11=(35)/(3) | | 6×-3y+24=0 | | x=0.25(15-x)+5 | | 2(x-8)=8x-10 | | 15-x=0.25x+5 | | r-15.7=-4.6 |

Equations solver categories