4724x^2-153340x+1000000=0

Solution for 4724x^2-153340x+1000000=0 equation:

4724x^2-153340x+1000000=0

a = 4724; b = -153340; c = +1000000;
Δ = b2-4ac
Δ = -1533402-4·4724·1000000
Δ = 4617155600
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:

$\sqrt{\Delta}=\sqrt{4617155600}=\sqrt{400*11542889}=\sqrt{400}*\sqrt{11542889}=20\sqrt{11542889}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-153340)-20\sqrt{11542889}}{2*4724}=\frac{153340-20\sqrt{11542889}}{9448}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-153340)+20\sqrt{11542889}}{2*4724}=\frac{153340+20\sqrt{11542889}}{9448}
$