Question
Between what values of x is the expression 18x - 3x² - 45
positive?Solution
ATQ,
So, 18x - 3x² - 45 > 0
Or, 3x² - 18x + 45 < 0
Or, 3x² - 15x - 3x + 45 < 0
Or, 3x(x - 5) -3(x - 5) < 0
Or, (3x - 3)(x - 5) < 0
So, x = 1 or x = 5
For any value of 'x' > 5, the expression becomes positive.
So, 'x' lies between 1 and 5.
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