2(1/2)p=100.6

Solution for 2(1/2)p=100.6 equation:

2(1/2)p=100.6

We move all terms to the left:

2(1/2)p-(100.6)=0


Domain of the equation: 2)p!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

2(+1/2)p-(100.6)=0

We add all the numbers together, and all the variables

2(+1/2)p-100.6=0

We multiply parentheses

2p^2-100.6=0

a = 2; b = 0; c = -100.6;
Δ = b2-4ac
Δ = 02-4·2·(-100.6)
Δ = 804.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{804.8}}{2*2}=\frac{0-\sqrt{804.8}}{4}
=-\frac{\sqrt{}}{4}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{804.8}}{2*2}=\frac{0+\sqrt{804.8}}{4}
=\frac{\sqrt{}}{4}
$