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21-01-2019
Mathematics

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If a and b are the two values of t that satisfy the equation t^2 − t − 6 = 0, with a ≥ b, what is the value of a − b?

A. 5

B. -5

C. 1

D. -1

Respuesta :

MrsStrong MrsStrong

23-01-2019

Answer:

A

Step-by-step explanation:

Solve [tex]t^2-t-6=0[/tex] by factoring the quadratic into [tex](x-3)(x+2)=0[/tex]. Using the zero product property, set each factor equal to 0.

x-3=0 so x=3

and x+2=0 sp x=-2.

The solution or a and b are 3 and -2. a=3. b=-2. So a-b = 3--2=3+2=5

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