(3/4)x-(5/6)=0

Solution for (3/4)x-(5/6)=0 equation:

(3/4)x-(5/6)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/4)x-(+5/6)=0

We multiply parentheses

3x^2-(+5/6)=0

We get rid of parentheses

3x^2-5/6=0

We multiply all the terms by the denominator


3x^2*6-5=0

Wy multiply elements

18x^2-5=0

a = 18; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·18·(-5)
Δ = 360
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:

$\sqrt{\Delta}=\sqrt{360}=\sqrt{36*10}=\sqrt{36}*\sqrt{10}=6\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{10}}{2*18}=\frac{0-6\sqrt{10}}{36}
=-\frac{6\sqrt{10}}{36}
=-\frac{\sqrt{10}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{10}}{2*18}=\frac{0+6\sqrt{10}}{36}
=\frac{6\sqrt{10}}{36}
=\frac{\sqrt{10}}{6}
$