2y2-y=6

Simple and best practice solution for 2y2-y=6 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 2y2-y=6 equation:



2y^2-y=6
We move all terms to the left:
2y^2-y-(6)=0
We add all the numbers together, and all the variables
2y^2-1y-6=0
a = 2; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·2·(-6)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-7}{2*2}=\frac{-6}{4} =-1+1/2 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+7}{2*2}=\frac{8}{4} =2 $

See similar equations:

| 15k+3k-5k-8k=10 | | (3x-8)=6x-16 | | 5c-2=-12 | | 3(x-6)-12=0 | | 2z/7+8=3 | | -3(2x-7)+4x=5 | | x/5+2=17/3 | | 0.2(n-60=2.8 | | -7(-2v+5)-4v=6(v-8)-5 | | 2x-10=x-19 | | 4=k20 | | -3(w-5)=2w-15 | | 4(r+2)=4(2−2r) | | 5(y-6)-7y=-28 | | y÷7=148+91 | | -3y-(-1)=10 | | G=120-4p | | 8x=-32+6x | | V.23v=-138 | | z/9+7=19 | | x=13+0.12/0.16 | | -1.5x=-6 | | 10n=2.345 | | 0,5a=45-a | | -30+3x=180 | | 0(x-8)=-108 | | 650y/15=325 | | 2y+9=10y-23 | | 7w+3=5+9 | | 12(5+2y)=4y | | -3(3x-6)+7x=4(x+7) | | -8y+6(y+8)=38 |

Equations solver categories