3x+1=31/4x

Simple and best practice solution for 3x+1=31/4x 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=31/4x equation:



3x+1=31/4x
We move all terms to the left:
3x+1-(31/4x)=0
Domain of the equation: 4x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
3x-(+31/4x)+1=0
We get rid of parentheses
3x-31/4x+1=0
We multiply all the terms by the denominator
3x*4x+1*4x-31=0
Wy multiply elements
12x^2+4x-31=0
a = 12; b = 4; c = -31;
Δ = b2-4ac
Δ = 42-4·12·(-31)
Δ = 1504
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:
$\sqrt{\Delta}=\sqrt{1504}=\sqrt{16*94}=\sqrt{16}*\sqrt{94}=4\sqrt{94}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{94}}{2*12}=\frac{-4-4\sqrt{94}}{24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{94}}{2*12}=\frac{-4+4\sqrt{94}}{24} $

See similar equations:

| 4/9r=7 | | 9^{x+4}=18x | | 6(0.33)+7y=0 | | 44=5.5x-6/8=7x | | 5.5x-6/8=7x | | 3m-14=-4 | | 5(2x+5)=-15x | | -y+20=163 | | 157-v=8 | | 353=68x+84 | | 90=+4y-10+y=180 | | 114=-x+185 | | 175=7-u | | x+¼x=15 | | 7.8x+2.4-3x+9=11+2x | | .91+.03=n | | -3(3x-4)=-31 | | X^2=-20x+21 | | -3/8+6=3/4x-12 | | 14w=7w+28 | | 9+5x=2x-16 | | 9x=25=10x+15 | | 1x+6=-20 | | 24=4y-4 | | 240+0.25x=180+.40x | | 0=x^2+7x-0.75 | | 2(3x+16)-14=4x+68 | | 41=-2x+8 | | -4(v+3)=-12-5v | | -4i-i= | | 10w=54+w | | y(y+2)/2=180 |

Equations solver categories