10x^2-35x-245=0

Solution for 10x^2-35x-245=0 equation:

10x^2-35x-245=0

a = 10; b = -35; c = -245;
Δ = b2-4ac
Δ = -352-4·10·(-245)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-105}{2*10}=\frac{-70}{20}
=-3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+105}{2*10}=\frac{140}{20}
=7
$