Answer: Choice E) 0.5
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Step-by-step explanation:
The given equation is in the form of ax^2+bx+c = 0
The coefficients are
According to Vieta's formula, we know that the roots of a quadratic multiply to c/a
In this case, the roots multiply to -3/2
Let p and q be the two roots. We're told that -3 is one of the roots, so p = -3. Let's find q.
pq = c/a
-3q = -3/2
q = (-3/2)*(-3/1)
q = 1/2
q = 0.5
The other root is 0.5
The product of the roots is -3*0.5 = -1.5 = -3/2 to confirm the answer.
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The longer way to solve would be to plug x = -3 into the equation and solve for k. You should get k = 5
Once you know the value of k, use the quadratic formula to find the two roots. You should get -3 and 1/2 = 0.5 as the two roots.