1.4a=19.6/2a

Solution for 1.4a=19.6/2a equation:

1.4a=19.6/2a

We move all terms to the left:

1.4a-(19.6/2a)=0


Domain of the equation: 2a)!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

1.4a-(+19.6/2a)=0

We get rid of parentheses

1.4a-19.6/2a=0

We multiply all the terms by the denominator


(1.4a)*2a-19.6=0

We add all the numbers together, and all the variables

(+1.4a)*2a-19.6=0

We multiply parentheses

2a^2-19.6=0

a = 2; b = 0; c = -19.6;
Δ = b2-4ac
Δ = 02-4·2·(-19.6)
Δ = 156.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{156.8}}{2*2}=\frac{0-\sqrt{156.8}}{4}
=-\frac{\sqrt{}}{4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{156.8}}{2*2}=\frac{0+\sqrt{156.8}}{4}
=\frac{\sqrt{}}{4}
$