4y^2+60y-(10000/3.1415)=0

Solution for 4y^2+60y-(10000/3.1415)=0 equation:

4y^2+60y-(10000/3.1415)=0

We add all the numbers together, and all the variables

4y^2+60y-(+10000/3.1415)=0

We get rid of parentheses

4y^2+60y-10000/3.1415=0

We multiply all the terms by the denominator


4y^2*3.1415+60y*3.1415-10000=0

Wy multiply elements

12.566y^2+188.49y-10000=0

a = 12.566; b = 188.49; c = -10000;
Δ = b2-4ac
Δ = 188.492-4·12.566·(-10000)
Δ = 538168.4801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(188.49)-\sqrt{538168.4801}}{2*12.566}=\frac{-188.49-\sqrt{538168.4801}}{25.132}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(188.49)+\sqrt{538168.4801}}{2*12.566}=\frac{-188.49+\sqrt{538168.4801}}{25.132}
$