Question
Between what values of x is the expression 19x -
2x2Â - 35 positive?Solution
So, 19x - 2x2Â - 35 > 0 Or, 2x2Â - 19x + 35 < 0 Or, 2x2Â - 14x - 5x + 35 < 0 Or, 2x(x - 7) - 5(x - 7) < 0 Or, (2x - 5) (x - 7) < 0 So, x = 2.5 or x = 7 For any value of 'x' > 7, the value of expression 2x2Â - 19x + 35 becomes, positive. So, 'x' lies between 2.5 and 7.
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