Hello :
This number is : x
you have : x + 2x² = 6
2x² + x -6 = 0
Δ = b² -4ac a = 2 , b = 1 , c = 6
Δ = 1² - 4(2)(6) = 49 = 7²
X1 = (- 1 +7)/4 = 3/2
X2 = (-1-7)/4 = -2
The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
brainly.com/question/25678139
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Answer:
1.5
Step-by-step explanation:
one pound is one, then half a pound is 0.5 - add to get 1.5
For this case we have that by definition, the domain of a function is given by the set of all the possible input values of the function. That is, the values that the variable "x" takes.
Also, it can be said that it is the set of all the values for which the function is defined.
The table shows that "x" takes the following values:
{3,4,5,6}
Answer:
Domain: {3,4,5,6}
Option C
Answer:
=32x^3+36x
Step-by-step explanation:
6x(6)+32x^3
=36x+32x^3