Thanks for your question!
d = 4n -2
d + 2 = 4n
(d+2)/4 = n
Hope this helped!
If the "some number" is represented by m, then "some number cubed" is m^3. The product of that and 2 is 2m^3. Eight more than that product is
.. 8 +2m^3 . . . . . . . . upper-left selection
Remember that the quadratic formula is:
.
stands for the coefficient of the first term, the one associated with the
,
stands for the coefficient of the second term, the one associated with
, and
stands for the value of the constant.
In
, our a-value is 1, our b-value is also 1, and our c-value is also 1.
Thus, when we plug in our values into our formula, we get the answer:

Simplifying this answer using
, we get our final answer of:

Answer:
±11.18
Step-by-step explanation:
the function is:

and to find the roots we need to find which values of
makes the function result in zero:

solving for
:

A square root has two solutions, one positive and one negative, so the solutions are:
±
≈ ±11.18
the roots of the quadratic equation are +11.18 and -11.18
The easist way to find the vertex is to complete the square:
y=2x^2 +11x-6 => <span>y=2[ x^2 + (11/2)x + (11/2)^2 - (11/2)^2 ] - 6
This can be rewritten as
y = 2[(x+11/2)^2 ] -(121/4) - 24/4
y = 2 (x+11/2)^2 - 145/4
this is the equation in vertex form. The vertex is at (-11/2, -145/4).</span>