Question
The expression 12x - x² - 20 is positive between which
values of x?Solution
ATQ,
So, 12x - x² - 20 > 0
Or, x² - 12x + 20 < 0
Or, x² - 10x - 2x + 20 < 0
Or, x(x - 10) -2(x - 10) < 0
Or, (x - 2)(x - 10) < 0
So, x = 2 or x = 10
So, the expression is positive between 2 and 10.
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