x^2+450x+10,000=0

Solution for x^2+450x+10,000=0 equation:

x^2+450x+10.000=0

We add all the numbers together, and all the variables

x^2+450x+10=0

a = 1; b = 450; c = +10;
Δ = b2-4ac
Δ = 4502-4·1·10
Δ = 202460
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:

$\sqrt{\Delta}=\sqrt{202460}=\sqrt{4*50615}=\sqrt{4}*\sqrt{50615}=2\sqrt{50615}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(450)-2\sqrt{50615}}{2*1}=\frac{-450-2\sqrt{50615}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(450)+2\sqrt{50615}}{2*1}=\frac{-450+2\sqrt{50615}}{2}
$