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Lorico [155]
3 years ago
13

Find the value of c that makes the trinomial a perfect square. x2+8x+c

Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

Answer:

c=16

Step-by-step explanation:

hello :

x2+8x+c is the perfect square means : x²+8x+c= (x+a)²

x²+8x+c = x²+2ax+a²

so : 2a=8

      c=a²

a=8/2 = 4    but : c = a²

conclusion : c=16

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Y_Kistochka [10]
This is the concept of algebra, we are required to solve the given expression;
32^(2c)=8^(c+7)
this can be written as:
2^[5(2c)]=2^[3(c+7)
applying the natural logs we shall get
[5(2c)]ln2=[3(c+7)]ln2
The ln 2 will cancel on from both sides and we shall have:
5(2c)=3(c+7)
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To make c the subject we begin by subtracting 3c from both sides
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7c=21
dividing both sides by 7 we get:
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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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