# My first problem in 2016!

Algebra Level 4

Given that $$f(x) =a(x-x_1)(x-x_2)$$, $$g(x) =dx+c$$, and $$F(x)= f(x)+g(x)$$. The graph of $$f(x)$$ and $$g(x)$$ intersect at $$(x_1,0)$$. If the graph of $$F(x)$$ intersects the x-axis only once, find d.

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