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If a = 4, b = 3, angle A = 60º, then c is the root of the equation
  • a)
    c2 - 3c - 7 = 0
  • b)
    c2 + 3c + 7 = 0
  • c)
    c2 - 3c + 7 = 0
  • d)
    c2 + 3c - 7 = 0
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a = 4, b = 3, angle A = 60º, then c is the root of the equatio...
Given Information:
a = 4, b = 3, angle A = 60°

Calculating Side c:
Using the law of cosines, we can find side c using the formula:
c² = a² + b² - 2ab*cos(A)
c² = 4² + 3² - 2*4*3*cos(60°)
c² = 16 + 9 - 24*(0.5)
c² = 25 - 12
c² = 13

Writing the Equation:
Now, we can write the equation in terms of c:
c² - 3c - 7 = 0

Verifying the Correct Answer:
By plugging in the value of c² we found earlier:
13 - 3*sqrt(13) - 7 = 0
13 - 39 - 7 = 0
-33 ≠ 0
Therefore, the correct answer is not option 'A'.
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If a = 4, b = 3, angle A = 60º, then c is the root of the equationa)c2 - 3c - 7 = 0b)c2 + 3c + 7 = 0c)c2 - 3c + 7 = 0d)c2 + 3c - 7 = 0Correct answer is option 'A'. Can you explain this answer?
Question Description
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