2x^2-45x-2025=0

Solution for 2x^2-45x-2025=0 equation:

2x^2-45x-2025=0

a = 2; b = -45; c = -2025;
Δ = b2-4ac
Δ = -452-4·2·(-2025)
Δ = 18225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18225}=135$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-135}{2*2}=\frac{-90}{4}
=-22+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+135}{2*2}=\frac{180}{4}
=45
$