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

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.

$\frac{-1}{5}, \frac{-3}{2}$

View answer & explanation

Correct answer is B

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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