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EastWind [94]
3 years ago
8

If x − √a is a factor of 2x4 − 2a 2x 2 − 3x + 2a3 − 2a2 + 3 , find the value of a.

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

\boxed{\sf \ \ \ a = 1 \  \ \ }

Step-by-step explanation:

Hello,

saying that x-\sqrt{a} is a factor means that \sqrt{a} is a zero which means

2(\sqrt{a})^4-2a^2(\sqrt{a})^2-3*\sqrt{a}+2a^3-2a^2+3=0\\\\ 2a^2-2a^3-3*\sqrt{a}+2a^3-2a^2+3=0\\\\3-3*\sqrt{a}=0\\\\\sqrt{a}=\dfrac{3}{3}=1\\\\ a = 1

so the solution is a = 1

Do not hesitate if you have any question

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Answer: c.) Sales tax varies by state, so you can travel to a state with a lower tax rate and make your purchase there.

Step-by-step explanation:

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<h2><em>Spymore</em></h2>
5 0
3 years ago
Re write the expressoin-21+7
blsea [12.9K]

Answer:

7-21

Step-by-step explanation:

if -a+b

is thesame according to laws of integers as

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6 0
3 years ago
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on
zvonat [6]

Answer:10 m

Step-by-step explanation:

Given

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8 0
3 years ago
The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and the
Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}

So, a = 5.

Thank you.

7 0
4 years ago
These triangles are similar. find Y and X
CaHeK987 [17]

It these triangles are similar, then the sides of the triangles are in proportion:

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5y=40           <em>divide both sides by 5</em>

\boxed{y=8}


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\boxed{x=3}

3 0
3 years ago
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