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kifflom [539]
3 years ago
14

19.Find dy/dx of the function y = f(x) definded by x²+xy-y2 = 4.

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0

Answer:

2x + y

Step-by-step explanation:

x² + xy - y² = 4

→ Remember the rule, bring the power down then minus 1

2x + y

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Because 1/3 = 4/12 so 7/12 is greater and 2/3 = 8/12 so it is greater than 7/12
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Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17
yawa3891 [41]
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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
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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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