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dem82 [27]
3 years ago
9

find the value of x. if your is not an integer, leave it in simplest radical form. the disgram is not drawn to scale

Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0
Ybyvtmlbbt. G h. High r give ivy re ivy j
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How do I factor x^4-5x^2+6?
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Answer:

=(x^2-3)(x^2-2)

Step-by-step explanation:

So we have the expression:

x^4-5x^2+6

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

=u^2-5u+6

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

=u^2-2u-3u+6

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

=u(u-2)-3(u-2)

Grouping:

=(u-3)(u-2)

Now, substitute back the x² for u:

=(x^2-3)(x^2-2)

And this is the simplest form.

And we're done!

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