If one of the roots of the quadratic equation x² + mx + 24 = 0 is 1.5, then what is the value of m?

Question: If one of the roots of the quadratic equation x² + mx + 24 = 0 is 1.5, then what is the value of m?

Solution:
দেওয়া আছে সমীকরণটি:
x² + mx + 24 = 0

যেহেতু সমীকরণটির একটি মূল (root) 1.5, তাই x = 1.5 বসিয়ে পাই,
⇒ (1.5)² + m(1.5) + 24 = 0
⇒ 2.25 + 1.5m + 24 = 0
⇒ 1.5m + 26.25 = 0
⇒ 1.5m = - 26.25
⇒ m = - 26.25/1.5
⇒ m = - 17.5

অতএব, m এর মান - 17.5।