-0.25x2+1.5=-10.75

Solution for -0.25x2+1.5=-10.75 equation:

-0.25x^2+1.5=-10.75

We move all terms to the left:

-0.25x^2+1.5-(-10.75)=0

We add all the numbers together, and all the variables

-0.25x^2+12.25=0

a = -0.25; b = 0; c = +12.25;
Δ = b2-4ac
Δ = 02-4·(-0.25)·12.25
Δ = 12.25
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{-(0)-\sqrt{12.25}}{2*-0.25}=\frac{0-\sqrt{12.25}}{-0.5}
=-\frac{\sqrt{}}{-0.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{12.25}}{2*-0.25}=\frac{0+\sqrt{12.25}}{-0.5}
=\frac{\sqrt{}}{-0.5}
$