0=64+(w*w)-16w

Solution for 0=64+(w*w)-16w equation:

0=64+(w*w)-16w

We move all terms to the left:

0-(64+(w*w)-16w)=0

We add all the numbers together, and all the variables

-(64+(+w*w)-16w)+0=0

We add all the numbers together, and all the variables

-(64+(+w*w)-16w)=0


We calculate terms in parentheses: -(64+(+w*w)-16w), so:

64+(+w*w)-16w

determiningTheFunctionDomain
(+w*w)-16w+64

We add all the numbers together, and all the variables

-16w+(+w*w)+64

We get rid of parentheses

-16w+w*w+64

Wy multiply elements

w^2-16w+64

Back to the equation:

-(w^2-16w+64)


We get rid of parentheses

-w^2+16w-64=0

We add all the numbers together, and all the variables

-1w^2+16w-64=0

a = -1; b = 16; c = -64;
Δ = b2-4ac
Δ = 162-4·(-1)·(-64)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$w=\frac{-b}{2a}=\frac{-16}{-2}=+8$