y^2/0.5-y=0.25

Solution for y^2/0.5-y=0.25 equation:

y^2/0.5-y=0.25

We move all terms to the left:

y^2/0.5-y-(0.25)=0

We add all the numbers together, and all the variables

y^2/0.5-1y-0.25=0

We multiply all the terms by the denominator


y^2-1y*0.5-(0.25)*0.5=0

We add all the numbers together, and all the variables

y^2-1y*0.5-0.125=0

Wy multiply elements

y^2-0.5y-0.125=0

a = 1; b = -0.5; c = -0.125;
Δ = b2-4ac
Δ = -0.52-4·1·(-0.125)
Δ = 0.75
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.5)-\sqrt{0.75}}{2*1}=\frac{0.5-\sqrt{0.75}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.5)+\sqrt{0.75}}{2*1}=\frac{0.5+\sqrt{0.75}}{2}
$