Question
When is the expression 16x - 4x² - 48 greater than
zero?Solution
ATQ,
So, 16x - 4x² - 48 > 0
Or, 4x² - 16x + 48 < 0
Or, 4x² - 12x - 4x + 48 < 0
Or, 4x(x - 3) -4(x - 3) < 0
Or, (4x - 4)(x - 3) < 0
So, x = 1 and x = 3
Therefore, the expression is positive between 1 and 3.
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