x^2-145x+3450=0

Solution for x^2-145x+3450=0 equation:

x^2-145x+3450=0

a = 1; b = -145; c = +3450;
Δ = b2-4ac
Δ = -1452-4·1·3450
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-145)-85}{2*1}=\frac{60}{2}
=30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-145)+85}{2*1}=\frac{230}{2}
=115
$