The product of two consecutive odd positive numbers is 399. Find the two numbers

1 answer:

4 0

Two consecutive odd number have the form: 2n+1; 2n+3.
We have:
(2n+1)(2n+3)=399
=> 4x^2+8x+3=399
=> 4x^2+8x-396=0
=> 4(x+11)(x-9)=0
=> x=-11; x=9

You might be interested in

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth

muminat

So.... notice the picture below

we know when y = 140 and x = 240, r = 250

so let's use the pythagorean theorem

$\bf r^2=x^2+y^2\implies 2r\cfrac{dr}{dt}=2x\cfrac{dx}{dt}+2y\cfrac{dy}{dt}\implies \cfrac{dr}{dt}=\cfrac{x\frac{dx}{dt}+y\frac{dy}{dt}}{r}
\\\\\\
\cfrac{dr}{dt}=\cfrac{240\cdot 480+70\cdot 140}{250}\implies \cfrac{dr}{dt}=500$

now... how much time does the controller have? well, say, plane "y" is going at dy/dt of 140mph, and is 70 miles away, 140 is 2*70, so it can cover those 70 miles in 1/2 hr, and when it does, it'll collide with the other,

so, the controller has that much, less than 1/2 hr

8 0

3 years ago

6 ÷ 3 + 32 · 4 − 2 A. 36 B. 98 C. 22 D. 42

otez555 [7]

Answer:128

Step-by-step

2+ 32 x 4-2

2+128-2

=128

4 0

2 years ago

let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship

Ymorist [56]

Answer:

d = s x t

Step-by-step explanation:

The formula for distance.

3 0

2 years ago

How to find What g(x) equals

ch4aika [34]

The answer is attached.

3 0

2 years ago

There are 11 blue marbles and 7 red

Rufina [12.5K]

Since the blue marbles are 11 and the red marbles are 7 you start will the red marbles first because the question say red marbles to blue marbles
7:11

8 0

1 year ago