x^(2)+3=0

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If x is real and x^(2) - 3x + 2 gt 0, x^(2)- 3x - 4 le 0, then which one of the following is correct?

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The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is

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x^(2)-2x + 3/2=0