Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
An example of an angle measurement problem is when trying to
calculate for the height of a particular object given the distance of the
observer from the object and the angle of elevation or depression. For example, you want to find out the height
of a building. All you need to know is the distance of your point of origin to
the building and the angle of elevation.
Answer:
-1-x
Step-by-step explanation:
i think im not sure
Answer:
x = -6
Step-by-step explanation:
You can insert the second equation in for the y-variable in the first equation
x + 4(2x+14) = 2
The next step is to distribute the 4
x + 8x + 56 = 2
Then we combine like terms
9x + 56 = 2
Subtract 56 from both sides
9x = -54
Divide by 9 on both sides
x = -6
