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Bunuel
The function f is defined for all numbers x by f(x) = x^2 + x. If t is a number such that f(2t) = 30, which two of the following could be the number t?

I. -3
II. −1/2
III. 5/2

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

D I and III.

f(2t) = 30 = (2t)*(2t+1), solve the quadratic equation
4t^2 + 2t + 30=0
2t^2 + t -15=0
t= -3, 5/2. Put the values to check whether the equation satisfies.
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Bunuel
The function f is defined for all numbers x by f(x) = x^2 + x. If t is a number such that f(2t) = 30, which two of the following could be the number t?

I. -3
II. −1/2
III. 5/2

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

solve for function f(x) = x^2 + x at f(2t)=30
we get t=5/2 & -3
IMO D
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