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ozzi
3 years ago
10

What number must you add to complete the square? x^2+26x=33

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:

Must add: 202

Step-by-step explanation:

The \ formula \ for \ perfect \ square => (a + b)^2  = a^2 + 2ab + b^2

a = x

2ab = 26x

2ab = 26a  [ substitute a instead of x]

b = \frac{26a}{2a}

b= 13

So,

  (x + 13)^2 = x^2 + 26x + 169

But given equation is :

       x^2 + 26x = 33\  =>  \ x^2 + 26x -33 = 0

We have find the difference between 169 and -33 to get the number that should be added to get the perfect square.

That is , 169 - (-33) = 202

Therefore ,

   x^2 + 26x -33 + 202 \ makes \ given \ equation  \ a \ perfect \ square

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Answer:

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3 years ago
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4 0
2 years ago
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