Answer:
N=6
Step-by-step explanation:
You need to prime factorize 150. 150 = 3*5*2*5.
x*x=perfect square.
What we have done so far is we have split 150 into a few digits
You can add 5 to one box and 5 to the other.
Next if we add 3 to one box and 2 to the other box, then they wont be equal.
Let's try 5*6 and 5.
6 is missing from the second box, so N must be 6 to create a perfect square.
The perfect square is 900 and 30*30 = 900, so it is a perfect square.
It's a quadratic equation. Solve it through factorisation.
5s^2 - 14s - 3 = 0
(5s + 1)(s - 3) = 0
5s + 1 = 0
or
s - 3 = 0
Therefore
s = -1/5
or
s = 3
The correct factorization of this equation is (2y - 8)(x + 4).
In order to factor polynomials with 4 terms like this, you can often use a strategy called grouping. To do that, split into two different binomials.
(2xy + 8y) and (-8x - 32)
Now you can factor out the greatest common factor of each parenthesis.
2y(x + 4) and -8(x + 4)
Now in grouping, if after factoring out the greatest common factor, you can put the two things you pulled out in one parenthesis. You can multiply that by one of the matching set for the final answer.
(2y - 8)(x + 4)
Don’t you just subtract?
32-8=24 home owners!
Hope this helps
