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Given the three quadratic equations above, which pair of equations has at least one common root?
  • a)
    I and II
  • b)
    II and III
  • c)
    I and III
  • d)
    I, II and III
  • e)
    None of the above
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Given the three quadratic equations above, which pair of equations has...
Given
  • Three quadratic equations:
    • x2 – 16x + 55 = 0
    • 2x2 – 4x - 70 = 0
    • x (x +7) = 44
To Find: Which pair of equations has at least one common root?
Approach
  1. As we need to find the common roots among the equation, we will solve each quadratic equation to find their roots and then find the pair of equations that have at least one common root.
Working Out
So, the roots of Equations I, II and III are (5, 11), (-5, 7) and (-11, 4) respectively.
Hence, none of the equations have even one root in common.
Answer: E
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Most Upvoted Answer
Given the three quadratic equations above, which pair of equations has...
It is option E , because a)Root of the first equation : 11 and 5 b)Root of second equation : 7 and -5 c)Root of third equation: -11 and 4.
Hence no common roots.
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Given the three quadratic equations above, which pair of equations has at least one common root?a)I and IIb)II and IIIc)I and IIId)I, II and IIIe)None of the aboveCorrect answer is option 'E'. Can you explain this answer?
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