1/8y+1/2y+2=4

Solution for 1/8y+1/2y+2=4 equation:

1/8y+1/2y+2=4

We move all terms to the left:

1/8y+1/2y+2-(4)=0


Domain of the equation: 8y!=0

y!=0/8

y!=0

y∈R



Domain of the equation: 2y!=0

y!=0/2

y!=0

y∈R


We add all the numbers together, and all the variables

1/8y+1/2y-2=0

We calculate fractions


2y/16y^2+8y/16y^2-2=0

We multiply all the terms by the denominator


2y+8y-2*16y^2=0

We add all the numbers together, and all the variables

10y-2*16y^2=0

Wy multiply elements

-32y^2+10y=0

a = -32; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-32)·0
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{-(10)-10}{2*-32}=\frac{-20}{-64}
=5/16
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-32}=\frac{0}{-64}
=0
$