x2+10x-1.59=0

Solution for x2+10x-1.59=0 equation:

x2+10x-1.59=0

We add all the numbers together, and all the variables

x^2+10x-1.59=0

a = 1; b = 10; c = -1.59;
Δ = b2-4ac
Δ = 102-4·1·(-1.59)
Δ = 106.36
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{-(10)-\sqrt{106.36}}{2*1}=\frac{-10-\sqrt{106.36}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+\sqrt{106.36}}{2*1}=\frac{-10+\sqrt{106.36}}{2}
$