Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Answer:
93answer of your question.
<u>Given</u>:
The arithmetic sequence is represented in the table.
The general form of the arithmetic sequence is given by
We need to determine the value of the missing term.
<u>First term:</u>
From the table, we need to determine the first term of the arithmetic sequence.
From the table, the value of the first term is 3.
Thus, 
Hence, the first term is 3.
<u>Common difference:</u>
From the table, we can determine the common difference of the arithmetic sequence.
Thus, we have;
12 - 3 = 9
Hence, the common difference is 
<u>Value of the missing term:</u>
The value of the term 45 can be determined by substituting n = 45 in the general form
Thus, we have;
Hence, the value of the term 45 is 399.
Thus, the value of the missing term is 399.
Answer:
yes sirr
Step-by-step explanation:
yes sirr
