If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m? Choose the correct choice from the following:
A) -22.5
B) 16
C) -10.5
D) -17.5
E) Cannot be determined
Explanatory Answer   We know that the product of the roots of a quadratic equation ax2 + bx + c = 0 is c/a   In the given equation, x2 + mx + 24 = 0, the product of the roots = 24/1= 
<gadget id="calculator">24/1</gadget>
<output>24</output>
24.   The question states that one of the roots of this equation= 1.5   If x1 and x2 are the roots of the given quadratic equation and let x1 = 1.5   Therefore, x2 = 24/1.5= 
<gadget id="calculator">24/1.5</gadget>
<output>16</output>
16.   In the given equation, m is the co-efficient of the x term.   We know that the sum of the roots of the quadratic equation ax2 + bx + c= 0 is-b/a = -m/a = -m   Sum of the roots = 16 + 1.5 = 17 = -17.5.   Therefore, the value of m = -17.5   correct choice is (-17.5)
<result>D</result>
If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?