4975x^2-30x-9=0

Solution for 4975x^2-30x-9=0 equation:

4975x^2-30x-9=0

a = 4975; b = -30; c = -9;
Δ = b2-4ac
Δ = -302-4·4975·(-9)
Δ = 180000
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:

$\sqrt{\Delta}=\sqrt{180000}=\sqrt{90000*2}=\sqrt{90000}*\sqrt{2}=300\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-300\sqrt{2}}{2*4975}=\frac{30-300\sqrt{2}}{9950}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+300\sqrt{2}}{2*4975}=\frac{30+300\sqrt{2}}{9950}
$