x-3/4x=99.49

Solution for x-3/4x=99.49 equation:

x-3/4x=99.49

We move all terms to the left:

x-3/4x-(99.49)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

x-3/4x-99.49=0

We multiply all the terms by the denominator


x*4x-(99.49)*4x-3=0

We multiply parentheses

x*4x-397.96x-3=0

Wy multiply elements

4x^2-397.96x-3=0

a = 4; b = -397.96; c = -3;
Δ = b2-4ac
Δ = -397.962-4·4·(-3)
Δ = 158420.1616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-397.96)-\sqrt{158420.1616}}{2*4}=\frac{397.96-\sqrt{158420.1616}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-397.96)+\sqrt{158420.1616}}{2*4}=\frac{397.96+\sqrt{158420.1616}}{8}
$