Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,

Assessment: WAEC SSCE - General Mathematics - 2003 (Objective) Subject: General Mathematics

Question 1 Report

Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
Answer Details
The expression \( \frac{1}{2x^2 - 13x +15} \) is undefined when the denominator is equal to zero. Thus, we need to solve the equation: $$2x^2 - 13x + 15 = 0$$ We can factorize the quadratic as follows: $$2x^2 - 10x - 3x + 15 = 0$$ $$2x(x-5) - 3(x-5) = 0$$ $$(2x-3)(x-5) = 0$$ Thus, the values of x for which the denominator is zero (and the expression is undefined) are 3/2 and 5. Therefore, the correct answer is option A: 5 or 3/2.

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