(8*8)+(6*6)=(c*c)

Solution for (8*8)+(6*6)=(c*c) equation:

(8*8)+(6*6)=(c*c)

We move all terms to the left:

(8*8)+(6*6)-((c*c))=0

We add all the numbers together, and all the variables

-((+c*c))+64+36=0

We add all the numbers together, and all the variables

-((+c*c))+100=0


We calculate terms in parentheses: -((+c*c)), so:

(+c*c)

We get rid of parentheses

c*c

Wy multiply elements

c^2

Back to the equation:

-(c^2)


We add all the numbers together, and all the variables

-1c^2+100=0

a = -1; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-1)·100
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-1}=\frac{-20}{-2}
=+10
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-1}=\frac{20}{-2}
=-10
$