Question 767352
4x^2+kx+6=0
the factors satisfying the constraint that one of the solutions is x = -2 are
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(4x+3) * (x+2) = 0
x = -2 or -3/4
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multiplying the factors we get
4x^2 +11x +6 = 0
k = 11
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let's now check the answer x=-2 with k=11 above
4*(-2)^2 + 11*(-2) +6 = 0
16 -22 +6 = 0
22 -22 = 0
x=-2 with k=11 checks out!!!!!!!!!!!!!!
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the key here is that the problem does not say that -2 is the ONLY solution