(31/4)p=2.1/2

Solution for (31/4)p=2.1/2 equation:

(31/4)p=2.1/2

We move all terms to the left:

(31/4)p-(2.1/2)=0


Domain of the equation: 4)p!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

(+31/4)p-(+2.1/2)=0

We multiply parentheses

31p^2-(+2.1/2)=0

We get rid of parentheses

31p^2-2.1/2=0

We multiply all the terms by the denominator


31p^2*2-2.1=0

Wy multiply elements

62p^2-2.1=0

a = 62; b = 0; c = -2.1;
Δ = b2-4ac
Δ = 02-4·62·(-2.1)
Δ = 520.8
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{520.8}}{2*62}=\frac{0-\sqrt{520.8}}{124}
=-\frac{\sqrt{}}{124}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{520.8}}{2*62}=\frac{0+\sqrt{520.8}}{124}
=\frac{\sqrt{}}{124}
$