Question

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

Answer 1

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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