
Taking the square root of both sides gives two possible cases,

or

Recall that

If
and
, we have

so in the equations above, we can write

Then in the first case,


(where
is any integer)


and in the second,




Then the solutions that fall in the interval
are

<span>x(2x + 3) + (x - 3)(x - 4)
=2x^2 + 3x +x^2 -3x -4x + 12
=3x^2 - 4x + 12</span>
<h3>
Answer: 2</h3>
========================================================
Explanation:
If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.
For instance, the value 7 is prime because the only factors of this are 1 and 7.
For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.
-----------
Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.
Infinite they’re all multiples, so they are the same line
Answer:
B
Step-by-step explanation:
She only has two cakes because that's all she bought.