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Tju [1.3M]
2 years ago
9

X + (-x) = 0 help me plz​

Mathematics
1 answer:
andriy [413]2 years ago
7 0

x+-x = 0

x-x = 0

0 = 0

infintely many solutions

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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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3 years ago
Complete the following sentence using the correct term. <br> 14 is a ________ of 7 and 14.
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Answer:Complete the following sentence using the correct term.

14 is a ________ of 7 and 14.

Step-by-step explanation:

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3 years ago
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The perimeter, P, of a rectangle is found using the formula P = 2l + 2w, where l is the length of the rectangle and w is the wid
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Answer:

(P - 2l)/2

Step-by-step explanation:

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When is buying a house better than ranting
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Answer:

Buying a home allows you to build wealth over time.

Step-by-step explanation:

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A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
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Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

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Divide through by 4

775 = 150x + x^2

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The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

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