4/49c^2=4

Solution for 4/49c^2=4 equation:

4/49c^2=4

We move all terms to the left:

4/49c^2-(4)=0


Domain of the equation: 49c^2!=0

c^2!=0/49

c^2!=√0

c!=0

c∈R


We multiply all the terms by the denominator


-4*49c^2+4=0

Wy multiply elements

-196c^2+4=0

a = -196; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-196)·4
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56}{2*-196}=\frac{-56}{-392}
=1/7
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56}{2*-196}=\frac{56}{-392}
=-1/7
$