Home
Class 12
MATHS
Which of the following is a value of x f...

Which of the following is a value of x for which the expression `(-3)/(x^2+3x-10)` is undefined ?

A

`-3`

B

`-2`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
A rational expression is undefined when the denominator is 0. To determine the values of x that result in a denominator of 0, set the denominator equal to 0 and solve for x:
`x^2 +3x-10=0`
( x + 5)(x − 2) = 0
x + 5 = 0 or x − 2 = 0
x = −5 or x = 2
Among the answer choices, only the value x = 2 is listed, so choice D is correct.
Choice A is incorrect. When x = −3, the denominator is `(−3)^2` + 3(−3) − 10 = −10, so the given expression is not undefined. Choice B is incorrect and may result from incorrectly factoring the denominator or incorrectly assuming that if (x − 2) is a factor, then x = −2 is a solution. Choice C is incorrect and may result from giving the value of the denominator that makes the given expression undefined rather than the value of x that makes the denominator equal to 0.
Promotional Banner

Similar Questions

Explore conceptually related problems

Which of the following is equivalent to the expression x^4-x^3-x^2 ?

Which of the following is the factored form of the expression 3x^2 + 5x - 12 ?

If f(x)=(1)/(sqrt(1-x^(2))) , which of the following describes all the real values of x for which f(x) is undefined ?

Find the range of values of x for which the expression 12x^(2)+7x-10 is negative.

For which values of x in the expression (3x+6)/(3x(4x+8)(x-5)) undefined?

Which of the following is equivalent to 2x(x^2-3x) ?

For which nonnegative value of b is the expression (1)/(2-b^(2)) undefined?

Use the graphical method to find the value of x for which the expressions (3x+2)/2 and 3/4x-2 are equal.

Use the graphical method to find the value of x for which the expressions (3x+2)/2 and (3x)/4-2 are equal.

The values of x for which (x-1)/(3x+4) lt (x-3)/(3x-2)