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Let f and g be twice differentiable even...

Let f and g be twice differentiable even functions on (-2, 2) such that `f((1)/(4))= 0, f((1)/(2)) = 0, f(1)= 1 and g((3)/(4)) = 0, g(1)=2`
Then, the minimum number of solution of f(x) g''(x) `+ f'(x) g'(x)= 0` in (-2, 2) is equal to ____

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