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3 years ago

Which answer describes the restrictions for the variables x+1/x-4?

2 answers:

5 0

The restriction for this is that x ≠ 4. This is because 4 - 4 = 0, and you cannot divide by zero.

An alternative way of writing this (interval notation) is (-∞, 4)U(4, <span>∞).

Hope this helps!</span>

vagabundo [1.1K]3 years ago

3 0

Hey there

<span>The restrictions for the variables x+1/x-4 is</span> x ≠ 4.

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~~~~~~~~~~~~~~~~~~~~~~~~~

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3 years ago

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icang [17]

Answer:

$x=-2\\x=2$

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

$(x^2+1)^2-5x^2-5=0$

First, we need to foil out the parenthesis

$x^4+2x^2+1-5x^2-5=0$

Now we can combine the like terms

$x^4-3x^2-4=0$

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

$(x^2-4)(x^2+1)=0$

As the first binomial is a difference of squares, it can be factored futher into

$(x^2+1)(x+2)(x-2)=0$

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

$x+2=0\\\\x=-2$

$x-2=0\\\\x=2$

So our solutions to this equation are

$x=-2\\x=2$

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3 years ago