HELP ME PLZZZ!!!! URGENT!!!
1 answer:
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.
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Answer:
D
Step-by-step explanation:
There are 9 letters, which contains 2Qs, 3Ls and 4Bs.
If the 9 letters are distinct, the number of permutations they have will be 9!.
! is the factorial sign.
9! = 9*8*7*6*5*4*3*2*1
HOWEVER, we have some identical elements, so we need to get rid of the permutations of the same letters.
Thus we have:
The answer is D