Let a, ß be the roots of x² + 2ax + b =0.......[1]
⇒a + ß = -2a and aß = b
By hypothesis
la-ß | ≤ 2m
⇒ (a-ß)² ≤ 4m²
⇒ (a+ß)²-4aß < 4m²
⇒ 4a²-4b ≤ 4m²
⇒a² - b ≤ m²......(2)
And discriminant of (1) is >0
⇒4a²-4b> 0
⇒ b <a²...... (3)
From (2) and (3)
a² > b≥ (a² - m²)
b = [a² - m², a²)
Answer:
wouldn't it be 6/5 or 5/6 or 1.2
Step-by-step explanation:
4/5 multiplied by 15/16 equals 3/4
Answer:
x=1.167 y=8
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
7x - 6y = 48
7(0) - 6y = 48
y2 = -8 x2 = 0
(x1,y1) and (x2,y2)
(6.857,0) and (0,-8)
6.857,0) and (0,-8)
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 7x - 6y = 48
m = (y2 - y1)/(x2 - x1)
m = (-8 - 0)/(0 - 6.857)
m = 1.167
