8p+4/4p=9

Solution for 8p+4/4p=9 equation:

8p+4/4p=9

We move all terms to the left:

8p+4/4p-(9)=0


Domain of the equation: 4p!=0

p!=0/4

p!=0

p∈R


We multiply all the terms by the denominator


8p*4p-9*4p+4=0

Wy multiply elements

32p^2-36p+4=0

a = 32; b = -36; c = +4;
Δ = b2-4ac
Δ = -362-4·32·4
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-28}{2*32}=\frac{8}{64}
=1/8
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+28}{2*32}=\frac{64}{64}
=1
$