A=b1+b2/2

Solution for A=b1+b2/2 equation:

=A1+A2/2

We move all terms to the left:

-(A1+A2/2)=0

We add all the numbers together, and all the variables

-(+A+A2/2)=0

We get rid of parentheses

-A-A2/2=0

We multiply all the terms by the denominator


-A*2-A2=0

We add all the numbers together, and all the variables

-1A^2-A*2=0

Wy multiply elements

-1A^2-2A=0

a = -1; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*-1}=\frac{0}{-2}
=0
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*-1}=\frac{4}{-2}
=-2
$