15x2=1.5

Simple and best practice solution for 15x2=1.5 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=1.5 equation:



15x^2=1.5
We move all terms to the left:
15x^2-(1.5)=0
We add all the numbers together, and all the variables
15x^2-1.5=0
a = 15; b = 0; c = -1.5;
Δ = b2-4ac
Δ = 02-4·15·(-1.5)
Δ = 90
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:
$\sqrt{\Delta}=\sqrt{90}=\sqrt{9*10}=\sqrt{9}*\sqrt{10}=3\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3\sqrt{10}}{2*15}=\frac{0-3\sqrt{10}}{30} =-\frac{3\sqrt{10}}{30} =-\frac{\sqrt{10}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3\sqrt{10}}{2*15}=\frac{0+3\sqrt{10}}{30} =\frac{3\sqrt{10}}{30} =\frac{\sqrt{10}}{10} $

See similar equations:

| 52=3k | | 9=9m= | | 0.22xx=5.5 | | -0.5(x-1)(x-7)=0 | | 2(3-x)-4=4-3x | | 3x^2+11x+10=(3x+5)(x+2) | | 2x^2+x-21=(x-3)(2x+7) | | 6x-19=0 | | X+y+50+120=180 | | 5x^2+28x-60=0 | | 1300=10p | | 10x–3x2–4=0 | | 10x–3x^2–4=0 | | 3x^2-22x+65=30 | | 3-11x=-8x | | 3x^2-22x-65=30 | | 16x-32-x+3=29 | | 1-x=x-9 | | 7w-6=3(w+4)=4w | | 7w-6=7w+12 | | 6m+48=2m+8 | | 3w+20=8w | | (3x)(x^2)-1083=0 | | (x)(3x)=1083 | | K-7=-11+2k | | (x)(x+5)=234 | | 2x+2=10x-14 | | 5x-2+7=9 | | 18-4r=2(1+2r) | | 5(y-4)=5 | | x^2-1,6=0 | | x-3-4=-10 |

Equations solver categories