x^2-24x+60=0

Simple and best practice solution for x^2-24x+60=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 x^2-24x+60=0 equation:



x^2-24x+60=0
a = 1; b = -24; c = +60;
Δ = b2-4ac
Δ = -242-4·1·60
Δ = 336
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:
$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-4\sqrt{21}}{2*1}=\frac{24-4\sqrt{21}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+4\sqrt{21}}{2*1}=\frac{24+4\sqrt{21}}{2} $

See similar equations:

| 5(w-3)=3w-9 | | −4(2n+7)=20 | | 4+–2m=10 | | 174=48n-19 | | 5+3x-37=6x+8x | | a/2-10=-14 | | -36+(x)^2=0 | | 15-6(2x+5)=33 | | P=68l=12 | | 3090=4(6(7x) | | 52+64+x^2-12x=180 | | k-512=408 | | -1/5x+13=7 | | 4-6f=-6f+4 | | 9-3m/3=2m | | f-$98.03=$12.47 | | –2+x+5=3–(1–2x) | | 5x-2x+x=9x-3x-2x=0 | | 4.5=x+1.9 | | -1/2x-7=-22 | | 3x+4+2x-12=3(x+2) | | -5.6=h5+12.2 | | 0.095*x=1.61 | | 5x-2x+x=9 | | -11.55=2.4x+12.45 | | X+(1/2)x+4=10 | | 4(x–1)=8x-40 | | 2^5=8^5x | | 7+9q=4q-8 | | 1x+2x-21=90 | | 16=b/21 | | -1/2w+3/5=1/6 |

Equations solver categories