x^2-7.46x-45=0

Solution for x^2-7.46x-45=0 equation:

x^2-7.46x-45=0

a = 1; b = -7.46; c = -45;
Δ = b2-4ac
Δ = -7.462-4·1·(-45)
Δ = 235.6516
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7.46)-\sqrt{235.6516}}{2*1}=\frac{7.46-\sqrt{235.6516}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.46)+\sqrt{235.6516}}{2*1}=\frac{7.46+\sqrt{235.6516}}{2}
$