97.6k views
3 votes
Please help the answer are

12
4
X
X+4
-16
16
X+12
X^2

Please help the answer are 12 4 X X+4 -16 16 X+12 X^2-example-1

2 Answers

1 vote
Step 2: {4, x+4}
Factoring x²+4x, you get x(x+4). If you call the length x, then the width is the other factor, x+4.

Step 4: {16}
You know this two ways. -192/-12 = 16, and 4 -(-12) = 16, where 4 is the coefficient of x in step 3.

Last line: {-16, 16}
The values of x that make the factors zero are -16 and 12. Since these are supposed to represent lengths, an appropriate answer cannot be negative (-16). The width is x+4 = 12+4 = 16.
User Lakmi
by
7.6k points
3 votes
Step 1:
x² + 4x = 192

Step 2:
Take x common:
x ( x + 4) = 192

Length is x and width is x+4

Step 3:

x² + 4x - 192 = 0

Step 4:

x² + 16x - 12x - 192 = 0
x(x+16) - 12(x+16) = 0
(x-12)(x+16) = 0

⇒ x=12, x=-16

Because the length can't be -16, the length is 12.
User SergioKastro
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories