2x^2-45x-45=0

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

2x^2-45x-45=0

a = 2; b = -45; c = -45;
Δ = b2-4ac
Δ = -452-4·2·(-45)
Δ = 2385
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:

$\sqrt{\Delta}=\sqrt{2385}=\sqrt{9*265}=\sqrt{9}*\sqrt{265}=3\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-3\sqrt{265}}{2*2}=\frac{45-3\sqrt{265}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+3\sqrt{265}}{2*2}=\frac{45+3\sqrt{265}}{4}
$