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 If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?
  • a)
    -22.5
  • b)
    16
  • c)
    -10.5
  • d)
    -17.5
  • e)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If one of the roots of the quadratic equation x2+ mx + 24 = 0 is 1.5, ...
If 1.5 is a root of the quadratic equation, substituting x = 1.5 in the equation will satisfy the equation.
The given quadratic equation is x2 + mx + 24 = 0
Substitute x = 1.5 in the above equation because 1.5 is a root of the equation.
(1.5)2 + 1.5m + 24 = 0
2.25 + 1.5m + 24 = 0
1.5m = -26.25 Or 
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If one of the roots of the quadratic equation x2+ mx + 24 = 0 is 1.5, then what is the value of m?a)-22.5b)16c)-10.5d)-17.5e)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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