15x2=126

Simple and best practice solution for 15x2=126 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 15x2=126 equation:



15x^2=126
We move all terms to the left:
15x^2-(126)=0
a = 15; b = 0; c = -126;
Δ = b2-4ac
Δ = 02-4·15·(-126)
Δ = 7560
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:
$\sqrt{\Delta}=\sqrt{7560}=\sqrt{36*210}=\sqrt{36}*\sqrt{210}=6\sqrt{210}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{210}}{2*15}=\frac{0-6\sqrt{210}}{30} =-\frac{6\sqrt{210}}{30} =-\frac{\sqrt{210}}{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{210}}{2*15}=\frac{0+6\sqrt{210}}{30} =\frac{6\sqrt{210}}{30} =\frac{\sqrt{210}}{5} $

See similar equations:

| 2w-9=5w | | 3u=4u+36 | | 10(v+1)-4v=2(3v+2)-8 | | 19-|2m+23|=39 | | 1+2+2w=5 | | 8x+12=-1+6x | | 18(v+3)-2v=4(4v+1)-10 | | 11x²+7x=106 | | x/3=8/4 | | |7x-33|=-23 | | 5m-18=3m | | 26x-5=5(5x+2)-5 | | 0.19y+0.05(y+3000)=1830 | | 0.5+8/3x=x+26 | | 8k=5k-12 | | 15y=35y+5 | | (x+1)²=x²+2x+1 | | -2x+5=-4x+24 | | 3x/x+3=5-9/x+3 | | 3(3x+1)=5(6x+4) | | 3(3x+1)=5(6x+4 | | 6x-9=5(x-8)-5 | | 17x-20=16x-5 | | 8(x+10)+3=-6(x-5)-5 | | 6(x-6)+7=-5(x-3) | | 6(x−6)+7=−5(x−3) | | 4(x-3)-2=-7(x+2) | | 3x+7=x−9 | | x-5/5x+1=x+3/x | | 30=11-55w | | 36(b−1)+4=4(9b−8) | | 8x+4=12x+12 |

Equations solver categories