2x+630/2x=630

Solution for 2x+630/2x=630 equation:

2x+630/2x=630

We move all terms to the left:

2x+630/2x-(630)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We multiply all the terms by the denominator


2x*2x-630*2x+630=0

Wy multiply elements

4x^2-1260x+630=0

a = 4; b = -1260; c = +630;
Δ = b2-4ac
Δ = -12602-4·4·630
Δ = 1577520
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:

$\sqrt{\Delta}=\sqrt{1577520}=\sqrt{144*10955}=\sqrt{144}*\sqrt{10955}=12\sqrt{10955}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1260)-12\sqrt{10955}}{2*4}=\frac{1260-12\sqrt{10955}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1260)+12\sqrt{10955}}{2*4}=\frac{1260+12\sqrt{10955}}{8}
$