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1 vote
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

2 Answers

4 votes

Answer:

3.24 AND -5.24

Explanation:

User Jeysson
by
7.6k points
4 votes
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Equation Given
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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
(x + 1)² = 18

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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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User Boyukbas
by
7.6k points

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