10x2-35x-45=0

Solution for 10x2-35x-45=0 equation:

10x^2-35x-45=0

a = 10; b = -35; c = -45;
Δ = b2-4ac
Δ = -352-4·10·(-45)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-55}{2*10}=\frac{-20}{20}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+55}{2*10}=\frac{90}{20}
=4+1/2
$