m/2-m2=-15

Solution for m/2-m2=-15 equation:

m/2-m2=-15

We move all terms to the left:

m/2-m2-(-15)=0

We add all the numbers together, and all the variables

-1m^2+m/2+15=0

We multiply all the terms by the denominator


-1m^2*2+m+15*2=0

We add all the numbers together, and all the variables

-1m^2*2+m+30=0

Wy multiply elements

-2m^2+m+30=0

a = -2; b = 1; c = +30;
Δ = b2-4ac
Δ = 12-4·(-2)·30
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{241}}{2*-2}=\frac{-1-\sqrt{241}}{-4}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{241}}{2*-2}=\frac{-1+\sqrt{241}}{-4}
$