Is x^(-2)+5 a polynomial expression? Why or why not?

Mathematics

1 answer:

Lynna [10]4 years ago

3 0

Answer:

it is not because a polynomial cannot have a negative power

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Pls help no need for long explanations just a summary

mr Goodwill [35]

Answer:

FG - it is midline. FG = 5.

Explanation:

A midline in a triangle is a line segment connecting the midpoints of two sides.

A midline is half the length of the side to which it is parallel.

$\dfrac{CE}{FG} =2\\\\ \dfrac{9x-26}{7x-23} =2\\\\9x-26=2(7x-23)\\9x-26=14x-46\\14x-9x=46-26\\5x=20\\x=4$

CE = 9 · 4 - 26 = 10

FG = 10/2 = 5

8 0

3 years ago

Solve 2x2 − 4x − 5 = 0 by completing the square.

arsen [322]

For this case we have the following polynomial:
$2x ^ 2 - 4x - 5 = 0
$
Rewriting we have:
$2x ^ 2 - 4x = 5

x ^ 2 - 2x = 5/2$
Then, completing squares we have:
$x ^ 2 - 2x + (-2/2) ^ 2 = 5/2 + (-2/2) ^ 2
$
Rewriting:
$x ^ 2 - 2x + (-1) ^ 2 = 5/2 + (-1) ^ 2

x ^ 2 - 2x + 1 = 5/2 + 1

(x-1) ^ 2 = 7/2$
$x-1 = +/- \sqrt{7/2} x = 1 +/- \sqrt{7/2}$
Then, the solutions are:
$x1 = 1 + \sqrt{7/2} x2 = 1 - \sqrt{7/2}$
Answer:
$x1 = 1 + \sqrt{7/2} 

x2 = 1 - \sqrt{7/2}$