55+(1/2)n+24.5=1460.2

Solution for 55+(1/2)n+24.5=1460.2 equation:

55+(1/2)n+24.5=1460.2

We move all terms to the left:

55+(1/2)n+24.5-(1460.2)=0


Domain of the equation: 2)n!=0

n!=0/1

n!=0

n∈R


We add all the numbers together, and all the variables

(+1/2)n+55+24.5-(1460.2)=0

We add all the numbers together, and all the variables

(+1/2)n-1380.7=0

We multiply parentheses

n^2-1380.7=0

a = 1; b = 0; c = -1380.7;
Δ = b2-4ac
Δ = 02-4·1·(-1380.7)
Δ = 5522.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{5522.8}}{2*1}=\frac{0-\sqrt{5522.8}}{2}
=-\frac{\sqrt{}}{2}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{5522.8}}{2*1}=\frac{0+\sqrt{5522.8}}{2}
=\frac{\sqrt{}}{2}
$