2y2+14y-120=0

Simple and best practice solution for 2y2+14y-120=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 2y2+14y-120=0 equation:



2y^2+14y-120=0
a = 2; b = 14; c = -120;
Δ = b2-4ac
Δ = 142-4·2·(-120)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-34}{2*2}=\frac{-48}{4} =-12 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+34}{2*2}=\frac{20}{4} =5 $

See similar equations:

| s÷12=7-2 | | (8x+14)+(10x-19)=180 | | 8x-14+4x=3x+5 | | -29+x=-19 | | .m+43=100 | | 2^x=16,x= | | -9-5y+13=-36 | | 2=17x-20 | | t-2/3=t-3/2 | | (x-4)-(x-3)=1/2 | | i=1.08(18/22) | | 2y-7=8y+2 | | 38+-3x=50=-5x | | 2y+1÷3=11 | | 9d+2=38 | | 151=4x-3 | | 3.8=1.4x | | 12(z+2)-4(z-4)=3(z-2+4(z-2) | | 4(60-1y)+3y=512 | | 240-4y+3y=512 | | 12(z+2)-4(z-4)=3(z-2)+4(z-2) | | -7j=-5j+10 | | (x/1/5)−0.012=0.113 | | -5b-8=-3b+2 | | 38=2x+7 | | 11x-5x=+38+6 | | 3x^2+5x+9=-5x+4 | | 3c+2c=109,225 | | -z=10+4z | | (17b-2)-8(2b+2)=-6 | | 4(3x-9)-7=4(x-3)+9 | | 4(n+9)=-8 |

Equations solver categories