1/2b+1/8b=88+4

Solution for 1/2b+1/8b=88+4 equation:

1/2b+1/8b=88+4

We move all terms to the left:

1/2b+1/8b-(88+4)=0


Domain of the equation: 2b!=0

b!=0/2

b!=0

b∈R



Domain of the equation: 8b!=0

b!=0/8

b!=0

b∈R


We add all the numbers together, and all the variables

1/2b+1/8b-92=0

We calculate fractions


8b/16b^2+2b/16b^2-92=0

We multiply all the terms by the denominator


8b+2b-92*16b^2=0

We add all the numbers together, and all the variables

10b-92*16b^2=0

Wy multiply elements

-1472b^2+10b=0

a = -1472; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1472)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-1472}=\frac{-20}{-2944}
=5/736
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-1472}=\frac{0}{-2944}
=0
$