5y-1/3y+21=0

Solution for 5y-1/3y+21=0 equation:

5y-1/3y+21=0


Domain of the equation: 3y!=0

y!=0/3

y!=0

y∈R


We multiply all the terms by the denominator


5y*3y+21*3y-1=0

Wy multiply elements

15y^2+63y-1=0

a = 15; b = 63; c = -1;
Δ = b2-4ac
Δ = 632-4·15·(-1)
Δ = 4029
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{-(63)-\sqrt{4029}}{2*15}=\frac{-63-\sqrt{4029}}{30}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+\sqrt{4029}}{2*15}=\frac{-63+\sqrt{4029}}{30}
$