4y+7/2y+9=0

Solution for 4y+7/2y+9=0 equation:

4y+7/2y+9=0


Domain of the equation: 2y!=0

y!=0/2

y!=0

y∈R


We multiply all the terms by the denominator


4y*2y+9*2y+7=0

Wy multiply elements

8y^2+18y+7=0

a = 8; b = 18; c = +7;
Δ = b2-4ac
Δ = 182-4·8·7
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-10}{2*8}=\frac{-28}{16}
=-1+3/4
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+10}{2*8}=\frac{-8}{16}
=-1/2
$