If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?
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Given : x² + mx + 24 = 0
one root = 1.5
To Find : Value of m
a-10.5
b.-22.5
c.-17.5
d. 16
Solution:
x² + mx + 24 = 0
one root = 1.5
Let say other root = α
Product of Roots = 24/1 = 24
Product of Roots = 1.5α
Equate Both
1.5α = 24
=>α = 16
Sum of Roots = - m/1
=> 16 + 1.5 = -m
=> 17.5 = -m
=> m = -17.5
Value of m =- 17.5
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