3x^2-18x+29=8

Simple and best practice solution for 3x^2-18x+29=8 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 3x^2-18x+29=8 equation:



3x^2-18x+29=8
We move all terms to the left:
3x^2-18x+29-(8)=0
We add all the numbers together, and all the variables
3x^2-18x+21=0
a = 3; b = -18; c = +21;
Δ = b2-4ac
Δ = -182-4·3·21
Δ = 72
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:
$\sqrt{\Delta}=\sqrt{72}=\sqrt{36*2}=\sqrt{36}*\sqrt{2}=6\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-6\sqrt{2}}{2*3}=\frac{18-6\sqrt{2}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+6\sqrt{2}}{2*3}=\frac{18+6\sqrt{2}}{6} $

See similar equations:

| x/(-2)=-3 | | d+4d=144 | | -1/6x-1/9x=-102 | | -5u+3(u-7)=-27 | | 19x+11x=180 | | 3(8.95)+s=2s-1.5 | | -13=y/2-3 | | -21-3(-7x)=0 | | X=3x=360 | | 2x^2+14=7- | | -6n-7(3n=5)=116 | | 3(x+2)=6(x+6) | | 2x2x=x3 | | -12y-8y-2=-15 | | 2x-26=10-4x | | 3(x+2)=6(x+6 | | -6(4-8x)=120 | | (x+4)+3x=110 | | 7z+30=9z-12 | | -6(-6u+2)=-228 | | -3a+8=4 | | n/2-2/3=n/3+5/6 | | 52x2x=x | | 52+2=x | | 2x=4,x= | | 6x=30,x= | | 2t-5=-33 | | f3+ 8=12 | | 3(x-3)^2+2=8 | | 3(x-4)^2+2=8 | | 5x^2+20x-60=5x2+20x−60= | | —5x=-10+8-4x |

Equations solver categories