X^2+10x-85.25=0

Solution for X^2+10x-85.25=0 equation:

X^2+10X-85.25=0

a = 1; b = 10; c = -85.25;
Δ = b2-4ac
Δ = 102-4·1·(-85.25)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-21}{2*1}=\frac{-31}{2}
=-15+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+21}{2*1}=\frac{11}{2}
=5+1/2
$