27-5y=17/2,3,4

Solution for 27-5y=17/2,3,4 equation:

27-5y=17/2.3.4

We move all terms to the left:

27-5y-(17/2.3.4)=0

We add all the numbers together, and all the variables

-5y+27-(+17/2.3.4)=0

We get rid of parentheses

-5y+27-17/2.3.4=0

We multiply all the terms by the denominator


-5y*2.3.4-17+27*2.3.4=0

We add all the numbers together, and all the variables

-5y*2.3.4+7.84=0

Wy multiply elements

-10y^2+7.84=0

a = -10; b = 0; c = +7.84;
Δ = b2-4ac
Δ = 02-4·(-10)·7.84
Δ = 313.6
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{-(0)-\sqrt{313.6}}{2*-10}=\frac{0-\sqrt{313.6}}{-20}
=-\frac{\sqrt{}}{-20}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{313.6}}{2*-10}=\frac{0+\sqrt{313.6}}{-20}
=\frac{\sqrt{}}{-20}
$