Question

If one of the roots of the quadratic equation x^2+mx+24=0 is 1.5, then what is the value of m?
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Select one:
a-10.5
stion
O b.-22.5
c.-17.5
d. 16​

Answer 1

Answer:

c. -17.5

Step-by-step explanation:

x^2+mx+24=0

=>(1.5)^2+m(1.5)+24=0

=>2.25+1.5m+24=0

=>1.5m= -26.25

=>m= -17.5

Answer 2

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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