(3+h)*h/2=2

Solution for (3+h)*h/2=2 equation:

(3+h)*h/2=2

We move all terms to the left:

(3+h)*h/2-(2)=0

We add all the numbers together, and all the variables

(h+3)*h/2-2=0

We multiply all the terms by the denominator


(h+3)*h-2*2=0

We add all the numbers together, and all the variables

(h+3)*h-4=0

We multiply parentheses

h^2+3h-4=0

a = 1; b = 3; c = -4;
Δ = b2-4ac
Δ = 32-4·1·(-4)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-5}{2*1}=\frac{-8}{2}
=-4
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+5}{2*1}=\frac{2}{2}
=1
$