3x+1/2x=21

Simple and best practice solution for 3x+1/2x=21 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+1/2x=21 equation:



3x+1/2x=21
We move all terms to the left:
3x+1/2x-(21)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We multiply all the terms by the denominator
3x*2x-21*2x+1=0
Wy multiply elements
6x^2-42x+1=0
a = 6; b = -42; c = +1;
Δ = b2-4ac
Δ = -422-4·6·1
Δ = 1740
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:
$\sqrt{\Delta}=\sqrt{1740}=\sqrt{4*435}=\sqrt{4}*\sqrt{435}=2\sqrt{435}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-2\sqrt{435}}{2*6}=\frac{42-2\sqrt{435}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+2\sqrt{435}}{2*6}=\frac{42+2\sqrt{435}}{12} $

See similar equations:

| 5+3x+(3x+1)-6=24 | | 180=1/5y+y | | 13.5=x×x×.5x | | 2x2+5x-7=0 | | 5+3-x=6-2 | | N+2=9x6 | | 12x+9-4x-4=3x-7-×+30 | | 8x=6=-70 | | 28x/3=20/3 | | 16x=-4+30+90 | | 6-x+2=4-1 | | 6a-+2=3a+1 | | x/2+4=180 | | -4(x+3)^2=72 | | 27=-5/3x+17 | | 7x+4+3x+6=5 | | 14+10y+7y=-20 | | 7x-28=9x+12x+4 | | 10+2x=4x+14 | | 5x-10+2x=18 | | -12m+26=-90 | | 5(x-1)=5(4x-5) | | 30a^2+17a-21=0 | | -16x^2+101x+10=x | | 3/8l=6 | | 9/12=r/4 | | 2x+30=-8 | | 4n-3=10 | | x+4=16+x | | x2=10x-370=0 | | 15w=65 | | 550=x^2-3x |

Equations solver categories