c^2=144/196

Solution for c^2=144/196 equation:

c^2=144/196

We move all terms to the left:

c^2-(144/196)=0

We add all the numbers together, and all the variables

c^2-(+144/196)=0

We get rid of parentheses

c^2-144/196=0

We multiply all the terms by the denominator


c^2*196-144=0

Wy multiply elements

196c^2-144=0

a = 196; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·196·(-144)
Δ = 112896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{112896}=336$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-336}{2*196}=\frac{-336}{392}
=-6/7
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+336}{2*196}=\frac{336}{392}
=6/7
$