97=1-6x(x-8)

Solution for 97=1-6x(x-8) equation:

97=1-6x(x-8)

We move all terms to the left:

97-(1-6x(x-8))=0


We calculate terms in parentheses: -(1-6x(x-8)), so:

1-6x(x-8)

determiningTheFunctionDomain
-6x(x-8)+1

We multiply parentheses

-6x^2+48x+1

Back to the equation:

-(-6x^2+48x+1)


We get rid of parentheses

6x^2-48x-1+97=0

We add all the numbers together, and all the variables

6x^2-48x+96=0

a = 6; b = -48; c = +96;
Δ = b2-4ac
Δ = -482-4·6·96
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{48}{12}=4$