(2x-1)(1/2x)=60

Solution for (2x-1)(1/2x)=60 equation:

(2x-1)(1/2x)=60

We move all terms to the left:

(2x-1)(1/2x)-(60)=0


Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(2x-1)(+1/2x)-60=0

We multiply parentheses ..

(+2x^2-1x)-60=0

We get rid of parentheses

2x^2-1x-60=0

a = 2; b = -1; c = -60;
Δ = b2-4ac
Δ = -12-4·2·(-60)
Δ = 481
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{-(-1)-\sqrt{481}}{2*2}=\frac{1-\sqrt{481}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{481}}{2*2}=\frac{1+\sqrt{481}}{4}
$