m1+m2=87

Solution for m1+m2=87 equation:

m1+m2=87

We move all terms to the left:

m1+m2-(87)=0

We add all the numbers together, and all the variables

m^2+m-87=0

a = 1; b = 1; c = -87;
Δ = b2-4ac
Δ = 12-4·1·(-87)
Δ = 349
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{349}}{2*1}=\frac{-1-\sqrt{349}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{349}}{2*1}=\frac{-1+\sqrt{349}}{2}
$