X2-12x=-24

Simple and best practice solution for X2-12x=-24 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 X2-12x=-24 equation:



X2-12X=-24
We move all terms to the left:
X2-12X-(-24)=0
We add all the numbers together, and all the variables
X^2-12X+24=0
a = 1; b = -12; c = +24;
Δ = b2-4ac
Δ = -122-4·1·24
Δ = 48
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:
$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4\sqrt{3}}{2*1}=\frac{12-4\sqrt{3}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4\sqrt{3}}{2*1}=\frac{12+4\sqrt{3}}{2} $

See similar equations:

| |6u-12|=6 | | 11x+12+12x+4=90 | | -17=-32-4/5f | | -3(7n-4)=-93 | | 9x2−74x+16=0 | | 7t+4=2(7t-5 | | x/14=3/21 | | -2.9b+3.1=15.5 | | 4(x+1)=3x+29 | | x+95+x+95=180 | | 5/6x-3=1/5x+4/5 | | 3p+6-9+10=N | | 13=5-7m | | 346.20=190+55x | | 6-8x-3=60+5x-15 | | -5+14=15x-3-14x | | 3(-2.4)+6=x | | 15d+21=8d | | 8x+3=7x+ | | 4x=3x+29 | | 5t^2+4t+7=0 | | 8-5x+x=90 | | -2(x+1)=2x-2+2(6x+6) | | 3y+6=8y+18 | | X/4+3/2=x/10 | | 2(x-7)-2x+8=-8 | | (x+1)(6x^+x-12)=0 | | 5x-8+x=90 | | -1/2=m+2/3 | | (x-4/3)-1=x-9/4 | | 10=5(3b+4)+7 | | 100−121k^​2​​=0 |

Equations solver categories