Question

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a triangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the triangle?

Answer 1

@Nnesha any help please

Answer 2

@Directrix

Answer 3

I think you'll need to solve this for x: (x – 13)(x + 8) = 196

Answer 4

thank you @Directrix

Answer 5

Well, let's work the problem.

Answer 6

If you are allowed to use online algebra calculators, then let's go with the "Wolf."
If not, we can crank this out with the calculators on our necks.

Answer 7

ok how would i work this out well we @Directrix

Answer 8

Look at what the "Wolf" did:

http://www.wolframalpha.com/input/?i=%28x+%E2%80%93+13%29%28x+%2B+8%29+%3D+196

Answer 9

ok one moment @Directrix

Answer 10

We have, as expected, two values of x.

x = - 15 and x = 20.

So, how do we know which one to use to substitute in the expression: x + 8 units which is the missing side.

Answer 11

-15 + 8
or 20 + 8

Answer 12

well there are answer choices and the answer choices are
a).7
b).15
c).20
d).28

Answer 13

@Directrix

Answer 14

Look at your two options

-15 + 8 or

20 + 8


Which one is it? I see it so look carefully.

Answer 15

so it is 20 @Directrix

Answer 16

No, it is 20 + 8 from the x + 8 in the problem

Answer 17

20 + 8 = ?

Answer 18

28 @directrix

Answer 19

Correct

Answer 20

thank you we work it out so well together @directrix

Answer 21

You are welcome.