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Find the values of X for which the expression does not exist (3mKs) X²+2 2x²-x-6​

User BSeitkazin
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1 Answer

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Answer:

So, the expression (3mKs)X²+2/2x²-x-6 is undefined when x is equal to -3/2 or x is equal to 2. These are the values of x for which the expression does not exist.

Explanation:

To find the values of x for which the expression (3mKs)X²+2/2x²-x-6 does not exist, we need to identify the conditions under which the expression is undefined. In this case, the expression is a rational function (a fraction) with a denominator of 2x² - x - 6.

To determine when this expression is undefined, we need to find the values of x that make the denominator equal to zero, because division by zero is undefined in mathematics. So, we need to solve the equation:

2x² - x - 6 = 0

To factor this quadratic equation, we can break it down as follows:

2x² - 4x + 3x - 6 = 0

Now, we factor by grouping:

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

Now, we can see that (x - 2) is a common factor:

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

Now, we can solve for x by setting each factor equal to zero:

2x + 3 = 0

2x = -3

x = -3/2

x - 2 = 0

x = 2

So, the expression (3mKs)X²+2/2x²-x-6 is undefined when x is equal to -3/2 or x is equal to 2. These are the values of x for which the expression does not exist.

User Horstling
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