x2+1.5x-0.632=0

Solution for x2+1.5x-0.632=0 equation:

x2+1.5x-0.632=0

We add all the numbers together, and all the variables

x^2+1.5x-0.632=0

a = 1; b = 1.5; c = -0.632;
Δ = b2-4ac
Δ = 1.52-4·1·(-0.632)
Δ = 4.778
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{-(1.5)-\sqrt{4.778}}{2*1}=\frac{-1.5-\sqrt{4.778}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{4.778}}{2*1}=\frac{-1.5+\sqrt{4.778}}{2}
$