c+70/c-17=0

Solution for c+70/c-17=0 equation:

c+70/c-17=0


Domain of the equation: c!=0

c∈R


We multiply all the terms by the denominator


c*c-17*c+70=0

We add all the numbers together, and all the variables

-17c+c*c+70=0

Wy multiply elements

c^2-17c+70=0

a = 1; b = -17; c = +70;
Δ = b2-4ac
Δ = -172-4·1·70
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-3}{2*1}=\frac{14}{2}
=7
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+3}{2*1}=\frac{20}{2}
=10
$