5r2+2r-3=0

Simple and best practice solution for 5r2+2r-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 5r2+2r-3=0 equation: 



5r^2+2r-3=0

a = 5; b = 2; c = -3;
Δ = b2-4ac
Δ = 22-4·5·(-3)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$


$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-8}{2*5}=\frac{-10}{10}
=-1
$


$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+8}{2*5}=\frac{6}{10}
=3/5
$

See similar equations:

| (6x)/2-9-(2x)/2=x+1 | | 12t+12=0 | | X-50=20x4/2 | | 13x-39=26 | | 8x^2+16x+1=0 | | 8x^2+16x+1=0 | | 12=x+1.6x | | 16(x)=9 | | X-(x÷.1)=48 | | 7x+11=5+6x | | x+0.13x=727 | | 9^(x-1)=0 | | 9^x-1=0 | | y^2+6y+42=0 | | 9^(x-1)-4.3^(x-1)+3=0 | | 2×3-10/3+k=0 | | 9^x-1-4.3^x-1+3=0 | | 4x+3=10x-27 | | -16t^2+16t-3.5=0 | | x/86=-8311.11 | | x/86=83.11 | | 7x+6=15+6 | | 7+2*x-6=17 | | 3x+5+9/7x=6-x+4²-(3x+3) | | 5x+9-6x-13+8x=-18 | | 7x+22=-18 | | X=(5x+2)(3x-4) | | 180-51=y+16 | | 6x+18+30+90=180 | | 6+7x-3=13+2x | | 6(x+3)–4=5(2–x) | | 5x-2=5x-6+4 |

Equations solver categories