z^2=1.4/10.2

Solution for z^2=1.4/10.2 equation:

z^2=1.4/10.2

We move all terms to the left:

z^2-(1.4/10.2)=0

We add all the numbers together, and all the variables

z^2-(+1.4/10.2)=0

We get rid of parentheses

z^2-1.4/10.2=0

We multiply all the terms by the denominator


z^2*10.2-1.4=0

Wy multiply elements

10.2z^2-1.4=0

a = 10.2; b = 0; c = -1.4;
Δ = b2-4ac
Δ = 02-4·10.2·(-1.4)
Δ = 57.12
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{57.12}}{2*10.2}=\frac{0-\sqrt{57.12}}{20.4}
=-\frac{\sqrt{}}{20.4}
$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{57.12}}{2*10.2}=\frac{0+\sqrt{57.12}}{20.4}
=\frac{\sqrt{}}{20.4}
$