Answer:
<em>y = 4x - 57 </em>
Step-by-step explanation:
( ,
)
( ,
)
m =
y - = m ( x -
)
~~~~~~~~~~~~~~~
( 15 , 3 )
( 19 , 19 )
m = = 4
y - 3 = 4 ( x - 15 )
<em>y = 4x - 57</em>
What is a formula for the nth term of the given sequence 13,17,21
2 answers:
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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.