2b^2+b-3=0

Simple and best practice solution for 2b^2+b-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 2b^2+b-3=0 equation:



2b^2+b-3=0
a = 2; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·2·(-3)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-5}{2*2}=\frac{-6}{4} =-1+1/2 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+5}{2*2}=\frac{4}{4} =1 $

See similar equations:

| 4y+8=3y-6 | | c/6+25.75=60.30 | | (Z-7)(z+2)=0 | | 3x+3/2x+4=4x-5/2x | | 199=4x+5(6x-1) | | 1/2x-1=12 | | 0.44x+x=2236 | | 2y=5+5 | | 5=f/7 | | 5/6p-4=2 | | 90=15n | | (M-5)(m-2)=0 | | -12=-7k+3k | | 70=-7x | | 20x-1=17x=11 | | x-5=12-3 | | r-7r=-6 | | 5/6x-1=1/6x+15 | | -1/2=2=y | | (100+4q^2)/(q)=8q | | 4x+3=-44 | | 4m2+4m=120 | | 1.475=r/8+1.8 | | 16x-26=28x-125 | | 7+3+x=25-5 | | Y=280-20x | | -5+|x+1|=-2 | | 10x=4.9185 | | -3(6-2y)=4(2y-3)-8 | | (5x-3)^2=49 | | (5x-1)^2=196 | | 8=2+r/2 |

Equations solver categories