x^2-5x-18.75=0

Solution for x^2-5x-18.75=0 equation:

x^2-5x-18.75=0

a = 1; b = -5; c = -18.75;
Δ = b2-4ac
Δ = -52-4·1·(-18.75)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-10}{2*1}=\frac{-5}{2}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+10}{2*1}=\frac{15}{2}
=7+1/2
$