Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7

The completing square form of given equation is

Step-by-step explanation:

Given:

We need to change given quadratic equation in completing square form.

First we add 5 both sides

Add both sides square of half of coefficient of x

Now we compare the equation to completing square

Hence, The completing square form of given equation is

75

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204