X2+10x-165=0

Simple and best practice solution for X2+10x-165=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 X2+10x-165=0 equation:



X2+10X-165=0
We add all the numbers together, and all the variables
X^2+10X-165=0
a = 1; b = 10; c = -165;
Δ = b2-4ac
Δ = 102-4·1·(-165)
Δ = 760
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{760}=\sqrt{4*190}=\sqrt{4}*\sqrt{190}=2\sqrt{190}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{190}}{2*1}=\frac{-10-2\sqrt{190}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{190}}{2*1}=\frac{-10+2\sqrt{190}}{2} $

See similar equations:

| 0=8|5y+5| | | 5x+5-2x=50+10x | | 4x+3(-1)=27 | | k/3-2=6 | | 5(n-4)+14;n=7 | | /4(1-x)+3x=-2(x+1) | | −5c=8−123 | | n+9.5=5.2 | | 4x3^x=36 | | 9(g-85)=90 | | 10x+15+x2=180 | | 5-1/4x=20 | | 3(x-3)+5(x+2)=8(x+1)-7 | | v/7+87=96 | | 2−–3r=5 | | 15x-13=37+5x | | 9g+1=100 | | M÷3=7m | | (6x+4)+(9x+11)=180 | | (6x+4)(9x+11)=180 | | 33/2-1=d | | 4(3.4)f=21 | | 26/2-1=d | | 32+5x+2x+8=-6x+9+10x-2 | | h+16/4=7 | | 19/2-1=d | | 22.36/x=20/22.36 | | 0.5x=0.1(3x-5)+15 | | 5x2+36x+7=0. | | 12/2-1=d | | 7p+3p-8=22 | | 3y+14y=113 |

Equations solver categories