Y=-6(-6)-x2

Solution for Y=-6(-6)-x2 equation:

=-6(-6)-Y2

We move all terms to the left:

-(-6(-6)-Y2)=0


We calculate terms in parentheses: -(-6(-6)-Y2), so:

-6(-6)-Y2

determiningTheFunctionDomain
-Y2-6(-6)

We add all the numbers together, and all the variables

-1Y^2+36

Back to the equation:

-(-1Y^2+36)


We get rid of parentheses

1Y^2-36=0

We add all the numbers together, and all the variables

Y^2-36=0

a = 1; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·1·(-36)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*1}=\frac{-12}{2}
=-6
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*1}=\frac{12}{2}
=6
$