1,14-y/3125=-0,19875+(0,50/8000)y

Solution for 1,14-y/3125=-0,19875+(0,50/8000)y equation:

1.14-y/3125=-0.19875+(0.50/8000)y

We move all terms to the left:

1.14-y/3125-(-0.19875+(0.50/8000)y)=0


Domain of the equation: 8000)y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

-y/3125-(-0.19875+(+0.50/8000)y)+1.14=0

We calculate fractions


(-8000y^2)/25000000y+()/25000000y+1.14=0

We multiply all the terms by the denominator


(-8000y^2)+(1.14)*25000000y+()=0

We add all the numbers together, and all the variables

(-8000y^2)+(1.14)*25000000y=0

We multiply parentheses

(-8000y^2)+28500000y=0

We get rid of parentheses

-8000y^2+28500000y=0

a = -8000; b = 28500000; c = 0;
Δ = b2-4ac
Δ = 285000002-4·(-8000)·0
Δ = 812250000000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{812250000000000}=28500000$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28500000)-28500000}{2*-8000}=\frac{-57000000}{-16000}
=3562+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28500000)+28500000}{2*-8000}=\frac{0}{-16000}
=0
$