(3*(c^2))/70-3c-4200=0

Solution for (3*(c^2))/70-3c-4200=0 equation:

(3(c^2))/70-3c-4200=0

determiningTheFunctionDomain
3c^2/70-3c-4200=0

We multiply all the terms by the denominator


3c^2-3c*70-4200*70=0

We add all the numbers together, and all the variables

3c^2-3c*70-294000=0

Wy multiply elements

3c^2-210c-294000=0

a = 3; b = -210; c = -294000;
Δ = b2-4ac
Δ = -2102-4·3·(-294000)
Δ = 3572100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3572100}=1890$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-1890}{2*3}=\frac{-1680}{6}
=-280
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+1890}{2*3}=\frac{2100}{6}
=350
$