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Orlov [11]
3 years ago
15

What values of c makes the polynomial a perfect square? x^2+16x+c

Mathematics
1 answer:
katovenus [111]3 years ago
5 0
For
ax^2+bx+c=
and a=1

b/2 squared=c makes a perfect square

b=16
16/2=8
8^2=64

the value of c should be 64

factored form
(x+8)^2
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galina1969 [7]

Answer:

Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:

 

   X + Y = 10

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+  Y + Z = 24

----------------

2X + 2Y + 2Z = 54

 

Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.

Step-by-step explanation:

hopefully this helps

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