X-1/2x=1725

Solution for X-1/2x=1725 equation:

X-1/2X=1725

We move all terms to the left:

X-1/2X-(1725)=0


Domain of the equation: 2X!=0

X!=0/2

X!=0

X∈R


We multiply all the terms by the denominator


X*2X-1725*2X-1=0

Wy multiply elements

2X^2-3450X-1=0

a = 2; b = -3450; c = -1;
Δ = b2-4ac
Δ = -34502-4·2·(-1)
Δ = 11902508
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:

$\sqrt{\Delta}=\sqrt{11902508}=\sqrt{4*2975627}=\sqrt{4}*\sqrt{2975627}=2\sqrt{2975627}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3450)-2\sqrt{2975627}}{2*2}=\frac{3450-2\sqrt{2975627}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3450)+2\sqrt{2975627}}{2*2}=\frac{3450+2\sqrt{2975627}}{4}
$