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For what value of x is  \(\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}\) ...

Mathematics
WAEC 2023

For what value of x is  \(\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}\)  is undefined?.

  • A. \(\frac{1}{5}, \frac{3}{2}\)
  • B. \(\frac{-1}{5}, \frac{3}{2}\)
  • C. \(\frac{1}{5}, \frac{-3}{2}\)
  • D. \(\frac{-1}{5}, \frac{-3}{2}\)
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Correct Answer: Option B
Explanation

The fraction  \(\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}\)  is undefined when the denominator is equal to zero

\(then  10x^2 - 13x - 3 = 0\)

by factorisation,  \(10x^2 - 13x - 3\) = 0 becomes \( 10x^2 - 15x +2x -3\) = 0

\(5x(2x - 3) + 1(2x - 3) = 0\)

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

\(then, x = \frac{-1}{5}\) or \(\frac{3}{2}\)


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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789