5n^2+4=745n

Solution for 5n^2+4=745n equation:

5n^2+4=745n

We move all terms to the left:

5n^2+4-(745n)=0

a = 5; b = -745; c = +4;
Δ = b2-4ac
Δ = -7452-4·5·4
Δ = 554945
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{-(-745)-\sqrt{554945}}{2*5}=\frac{745-\sqrt{554945}}{10}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-745)+\sqrt{554945}}{2*5}=\frac{745+\sqrt{554945}}{10}
$