3x^2-34=117

Simple and best practice solution for 3x^2-34=117 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^2-34=117 equation:



3x^2-34=117
We move all terms to the left:
3x^2-34-(117)=0
We add all the numbers together, and all the variables
3x^2-151=0
a = 3; b = 0; c = -151;
Δ = b2-4ac
Δ = 02-4·3·(-151)
Δ = 1812
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:
$\sqrt{\Delta}=\sqrt{1812}=\sqrt{4*453}=\sqrt{4}*\sqrt{453}=2\sqrt{453}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{453}}{2*3}=\frac{0-2\sqrt{453}}{6} =-\frac{2\sqrt{453}}{6} =-\frac{\sqrt{453}}{3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{453}}{2*3}=\frac{0+2\sqrt{453}}{6} =\frac{2\sqrt{453}}{6} =\frac{\sqrt{453}}{3} $

See similar equations:

| 2x^2-15=41 | | 23/7=11/x | | (9x+9)+(4x+15)=180 | | 9x+9)+(4x+15)=180 | | x+110+49=180 | | x+48+117=180 | | 180x5-2=180 | | -3(x-7)-(x+4)=21 | | -27+x=52 | | 6(8y+3)=4(y+5) | | 16(4x-5)^2-9=0 | | 16(4x-5)^2=9 | | 180=90+x+x/2 | | 4r=30=2 | | -5-m/7=0 | | -63-2q=47 | | 5.3+u/7=-12.2 | | 2x-4.3=0.5(x+3) | | 2x-4.3=1/2(x+3) | | 4+n6=40 | | 4/(x+1)=6/(x-3) | | 5y+27=-8(y-5) | | 200m-125m+43.650=45.675-150m | | 180=56+x+(x-12) | | 3(x+5)-1=12 | | 7(u+3)-6=21 | | -3(3x+1)+3x=2 | | 6x-3+6x=3 | | 8k-14=-4k+10+12k-2) | | 3/4(m-20)=600 | | 239=164-v | | 4(b-5)=15.6. |

Equations solver categories