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:
True
Step-by-step explanation:
“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.
The 1st option is your answer,
because to solve c, the -11 and 11 = 0, so your left with adding 23 and 11, then you divide -4 on both sides to get the variable (x) by itself
And for f, you only need to divide -4 on both sides to get x by itself.
Answer:
If I could get the values of a, b, and c i'd solve the whole thing.
Step-by-step explanation:
8a + 9b divided by 8a - 9b =
9b + 5c divided by 18b - 10c =
5c + 8a divided by 15c - 24a