What is 2n2 formula?
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Answer:
The answer is below
Explanation:
Ketone is a class of organic compounds which has a carbonyl group such that the carbon atom is covalently bonded to an oxygen atom, while the remaining two bonds are to other carbon atoms or hydrocarbon radicals.
Ketones are highly reactive hydrocarbons, they can be gotten from the oxidization of secondary alcohols. Ketone are used for medicinal applications.
The third option is the ketone
Taking into account the discriminant and quadratic formula:
- As Δ> 0 the function has two real roots or solutions.
- The solutions are x1= 10 and x2= -2.
Zeros or solutions of a function
The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
<h3>Discriminant</h3>The function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots or solutions of the function.
Then:
- If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
- If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points.
- If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.
The function (x - 4)² - 28 =8 can be expressed as:
(x - 4)² - 28 -8= 0
(x - 4)² - 36= 0
x²- 8x + 16 - 36= 0
x²- 8x + 16 - 36= 0
x²- 8x - 20= 0
Being:
- a= 1
- b= -8
- c= -20
the amount of solutions are calculated as:
Δ= (-8)²- 4×1×(-20)
Δ= 144
As Δ> 0 the function has two real roots or solutions and its graph intersects the x-axis at two points.
<h3>Solutions of a cuadratic function</h3>In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or solutions are calculated by:
The function (x - 4)² - 28 =8 can be expressed as x²- 8x - 20= 0
Being:
- a= 1
- b= -8
- c= -20
the solutions of the function are calculated as:
x1= 10
and
x1= -2
Finally, the quadratic function (x - 4)² - 28 =8 has two solutions and the solutions are x1= 10 and x2= -2.
Learn more about the zeros of a quadratic function:
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