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JulsSmile [24]
2 years ago
6

I need help what do I put in this blank what is the last number

Mathematics
1 answer:
adelina 88 [10]2 years ago
3 0
Answer 6.2

It’s Pythagoras‘s theorem as it is a right angle triangle so
8 squared -5 squared = 39
Square root of 39 = 6.2
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--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17

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Evaluate the brackets
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x² + 2x + (1)² - ²(1)² = 17

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Form the perfect square
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(x + 1)² - 1 = 17

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Add 1 to both sides
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(x + 1)² = 17 + 1
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Square root both sides
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√(x + 1)² = \pm√18

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Solve for x
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x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

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Answer: x = x = 3.24 or - 5.24
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