x2-24x+18=0

Simple and best practice solution for x2-24x+18=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 x2-24x+18=0 equation:



x2-24x+18=0
We add all the numbers together, and all the variables
x^2-24x+18=0
a = 1; b = -24; c = +18;
Δ = b2-4ac
Δ = -242-4·1·18
Δ = 504
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:
$\sqrt{\Delta}=\sqrt{504}=\sqrt{36*14}=\sqrt{36}*\sqrt{14}=6\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-6\sqrt{14}}{2*1}=\frac{24-6\sqrt{14}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+6\sqrt{14}}{2*1}=\frac{24+6\sqrt{14}}{2} $

See similar equations:

| x+4/2x-1=-4 | | 2x-3x+8=0 | | (x+4)/2x-1=-4 | | (x+5)/4=x-7 | | (2x+4)/3=-2 | | 4(3w+6)=-10 | | -c(c-3=-2) | | 8x2-24x+18=0 | | 4(4x-5)=40 | | 1÷4x-2=5 | | (X-4)(x+8=0 | | 1/2(x+6)=-2/3x+10 | | 9(x-17)=90 | | 1,5x-(12-x)=-3(3-x) | | 3(2l+4)=54 | | 16x^2-14x-11=0 | | 95/n=150/900 | | 15/9×y/3=40/9 | | 6(4s+1)=294 | | -3w+8-2w=5+4w-9 | | 15/9÷3/y=40/9 | | 15y/9=40/9 | | 3(3w+8)=8 | | 2x-3/4+x+5/6=3/4 | | 2/5x+3.2=6.2 | | 2x-3/4+2x-5/6=1/2 | | 0.5x-3=-x+2 | | (2-x)^3=0 | | (2-x)^3=3 | | -2u+7=-5(u+4) | | 6(e+3)=30 | | 5.1x-4=2x+26 |

Equations solver categories