Question

Help with this pls? I’m very lost thank u!!

Answer 1

Answer:

Description

Step-by-step explanation:

1. Factor 2x^2+11x+12 -> (2x+3)(x+4)

x=-4, -3/2

Both numbers are rational numbers as both can be expressed in the form in a quotient with integer values.

2. If discriminant is negative, then solutions are imaginary, meaning that the discriminant is less than 0, so you can set up this equation.

11^2 - 4(a)(12) < 0

121 - 48a < 0

a>121/48

The closest integer to 121/48 (~2.52) such that it satisfies the above conditions is 3, so the lowest value for a is 3.

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