Select the correct answer from each drop-down menu.

m^2-5/2m=-11/2 , m=±

1st options:
1/4
1
5/4

2nd options:
(3i square root 7)/4
(i square root 21)/2
(square root 113)/4

correct option for first blank is 5/4 and for second blank is

i.e m=

Step-by-step explanation:

The given equation

and we have to find m= ______ ± ________

We can use quadratic formula to solve this question.

The above equation can be written as:

and the formula used will be:

Putting values of a= 1, b= -5/2 and c= 11/2 and solving we get:

Since there is - sign inside the √ so is equal to i and we have to divide into its multiples such that the square root of one multiple is whole no so,

 = =

Putting value of and

the value of m=

so, correct option for first blank is 5/4 and for second blank is .

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step-by-step explanation: