For what value of x is x²+2/10x²-13x-3 is undefined?.

Correct Answer is : −15,32-1/5, 3/25−1,23

Correct Answer is : −15,32-1/5, 3/25−1,23

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WAEC Mathematics 2023 Paper

Question : 10

Total: 50

\frac{x^2+2}{10x^2-13x-3}

is undefined?.

Solution:

Concept:

A rational expression is undefined when its denominator is equal to zero.

Explanation:

Set the denominator equal to zero:

10x^2 - 13x - 3 = 0

Factorise the quadratic by splitting the middle term:

10x^2 - 15x + 2x - 3 = 0

5x(2x - 3) + 1(2x - 3) = 0

(5x + 1)(2x - 3) = 0

5x + 1 = 0

2x - 3 = 0

Therefore,

x = \frac{-1}{5}

x = \frac{3}{2}

Answer:

x = \frac{-1}{5}

x = \frac{3}{2}

Option B is correct.

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