-x^2-1.5x+1=0

Solution for -x^2-1.5x+1=0 equation:

-x^2-1.5x+1=0

We add all the numbers together, and all the variables

-1x^2-1.5x+1=0

a = -1; b = -1.5; c = +1;
Δ = b2-4ac
Δ = -1.52-4·(-1)·1
Δ = 6.25
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{6.25}}{2*-1}=\frac{1.5-\sqrt{6.25}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.5)+\sqrt{6.25}}{2*-1}=\frac{1.5+\sqrt{6.25}}{-2}
$