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3 years ago

Find an upper bound and a lower bound for the zeros of the following polynomial function: h(x)=x^4+2x^3-11x^2-14x+24

Mathematics

1 answer:

storchak [24]3 years ago

8 0

Https://www.tiger-algebra.com/drill/x~4-2x~3-13x~2_14x_24=0/

I hope this helps. it has the steps and explanations.

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An expression is given that has a value between 4.44.4 and 4.54.5, and where xx represents an integer. \sqrt{x}+\sqrt{x} x

musickatia [10]

Answer:

$x = 5$

Step-by-step explanation:

Given

$\sqrt x + \sqrt x = (4.4,4.5)$

Required

Find x

When the result is 4.4, we have:

$\sqrt x + \sqrt x = 4.4$

This gives:

$2\sqrt x = 4.4$

Divide both sides by 2

$\sqrt x = 2.2$

Square both sides

$x = 2.2^2$

$x = 4.84$

When the result is 4.5, we have:

$\sqrt x + \sqrt x = 4.5$

$2\sqrt x = 4.5\\$

Divide both sides by 2

$\sqrt x = 2.25$

Square both sides

$x = 2.25^2$

$x = 5.0625$

So, the value of x is between 4.84 and 5.0625

i.e.

$x = (4.84,5.0625)$

The only integer between the above interval is 5.

Hence:

$x = 5$

5 0

3 years ago

I need help with this

SVETLANKA909090 [29]

I think it could be 64 but I’m not totally sure

5 0

3 years ago

What are the solutions if the equation x^2+4x+4=25

tatiyna

$\text{Use}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+4x+4=25\\\\x^2+2(2)(x)+2^2=25\\\\(x+2)^2=25\iff x+2=\pm\sqrt{25}\\\\x+2=-5\ \vee\ x+2=5\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-7\ \vee\ x=3}$

Other method:

$x^2+4x+4=25\qquad\text{subtracr 25 from both sides}\\\\x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\\boxed{x=-7}\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}$

5 0

3 years ago

At gym A, it cost $12 to join with a monthly fee do $20. At gym B, it cost $4 to join with a monthly will the cost of both gyms

Vika [28.1K]

What is the monthly fee at gym b ?

6 0

3 years ago

Here is a sequence

Rina8888 [55]

Answer:

5120

Step-by-step explanation:

....80,160,320.... 2560

You are multiplying by 2 each time.

4 0

4 years ago