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NeTakaya
3 years ago
14

Find the zeros of y = x2 - 4x - 9 by completing the square.

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

{x}^{2}  - 4x - 9 = 0 \\ d =  {( - 4)}^{2}  - 4 \times ( - 9) = 52 = (2 \sqrt{13} ) ^{2}  \\ x =  \frac{4 + 2 \sqrt{13} }{2}  = 2 +  \sqrt{13}  \\ x =  \frac{4 - 2 \sqrt{13} }{2}  = 2 -  \sqrt{13}

Zeros of function:

2+_/13

2-_/13

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Answer:

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Note that you can split the given shape into a triangle and a rectangle.

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