q^2+q-120=0

Simple and best practice solution for q^2+q-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 q^2+q-120=0 equation:



q^2+q-120=0
a = 1; b = 1; c = -120;
Δ = b2-4ac
Δ = 12-4·1·(-120)
Δ = 481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{481}}{2*1}=\frac{-1-\sqrt{481}}{2} $
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{481}}{2*1}=\frac{-1+\sqrt{481}}{2} $

See similar equations:

| 2r-9-(-6r)=0 | | 3y-7-10=3 | | 3-8x=99 | | 8-3(-n-7)=-2(2-3n) | | 6x+9=3x-2 | | 5n+2=40 | | 3w-5=7w+9 | | 40n+5=2 | | 14-2(3p+1)=6(4+p)= | | 36*10=24x | | 12=a/3-2 | | -7m=38 | | -9a+-12=8+-4a | | 36x=10*24 | | 6-4x=102 | | -3-8(5x-1)=0 | | x/0.32=31 | | 4.0=8.4÷x | | 24*10=36m | | -5/3y+11=y/2 | | 9(m-3)+3m=43 | | -(7+8b)=-5(b-1) | | X/4x+8+9=25 | | 3x-2/3+2-x/4=-1/2 | | 3x=6*32 | | x^​2=121 | | (x+8)^2=25 | | 12y+43=91 | | 2(6x+7)=56 | | 2(n+5)=(-)2 | | -1.26•n=-10.08 | | 5(3y+3)=40 |

Equations solver categories