900x^2-600x+1=4

Solution for 900x^2-600x+1=4 equation:

900x^2-600x+1=4

We move all terms to the left:

900x^2-600x+1-(4)=0

We add all the numbers together, and all the variables

900x^2-600x-3=0

a = 900; b = -600; c = -3;
Δ = b2-4ac
Δ = -6002-4·900·(-3)
Δ = 370800
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:

$\sqrt{\Delta}=\sqrt{370800}=\sqrt{3600*103}=\sqrt{3600}*\sqrt{103}=60\sqrt{103}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-600)-60\sqrt{103}}{2*900}=\frac{600-60\sqrt{103}}{1800}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-600)+60\sqrt{103}}{2*900}=\frac{600+60\sqrt{103}}{1800}
$