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3 years ago

Find real or imaginary solutions of x^4-10x^2=-9

1 answer:

6 0

This resembles a quadratic and we can factor it using that pattern.

$(x^2)^2-(10x^2)+9=0$

$(x^2-9)(x^2-1)$

$(x+3)(x-3)(x+1)(x-1)=0$

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Find an integer value of b that makes x^2 + bx - 81 factorable.

Kaylis [27]

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

we can find two terms which when multiples = -81x², <em> ( x² * - 81 = -81x² ) </em>
and when add = bx

possible factors:

-1x * 81x = -81x² (Accepted)
1x * -81x= -81x² (rejected)
9x * -9x = -81x² (rejected)
-9x * 9x = -81x² (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

b = 80

<h3>The equation is x² + 80x - 81</h3>

5 0

2 years ago

In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F

Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC (∵Corresponding angles)

∠BED=∠BCA (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ $\frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}$

⇒ $\frac{BD}{BA}=\frac{DE}{AC}$

⇒ $\frac{11.9}{17}=\frac{DE}{20}$

⇒ $DE=\frac{20\times 11.9}{17}=14cm$

5 0

3 years ago

PIT_PIT [208]

How many piles the plates are stacked in I think

8 0

2 years ago

Read 2 more answers

Llana ran 2 laps around the field in 8 minutes. what was he average speed

son4ous [18]

Answer: 1 Lap Per Every 4 Minutes Is Her Average Speed.

Step-by-step explanation: To find her average speed, simply divide 8 by 2 which is 4.

8/2 = 4 minutes per lap.

3 0

3 years ago

Can someone explain to me how to do factorisation just like in the picture.

dlinn [17]

Message me so I can help, I need a better pocture

7 0

3 years ago