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dezoksy [38]
2 years ago
14

What is the result of the division? 2x^3-5x*4 —————- x-3

Mathematics
2 answers:
tamaranim1 [39]2 years ago
7 0

Answer:

  • 2x² + 6x + 13 remainder 43

Step-by-step explanation:

<u>Long division:</u>

2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43

<u>2x³ - 6x²</u>

       6x² - 5x

      <u> 6x² - 18x</u>

                13x + 4

                <u>13x - 39</u>

                        43

gtnhenbr [62]2 years ago
4 0

Answer:

2 x 2 + 6 x + 13 + 43 x − 3

2x2+6x+13+43x-3

Step-by-step explanation:

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Question#1 Please simplify..
riadik2000 [5.3K]
Hey there,
6x + 5 (x-2)
6x + 5x - 10
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3x - x - 5 + 9
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3a + 5 - 8a + 1
3 (-1) + 5 - 8(-1) + 1
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Hope this helps :))

<em>~Top♥</em>

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
andrey2020 [161]

First observe that if a+b>0,

(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}

Let a=0 and b=x. It follows that

a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}

Now let b=1, so a^2+a=4x. Solving for a,

a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2

which means

a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}

Now solve for x.

x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2

(note that we assume 2x-1\ge0)

4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}

(we omit x=0 since 2\cdot0-1=-1\ge0 is not true)

3 0
1 year ago
Find the l.c.m of x²+x, x²-1, x²-x​
olga2289 [7]

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

6 0
2 years ago
Consider the functions f(x)=x−7 and g(x)=4x^3.
maxonik [38]

Answer:

I think A is correct

7 0
3 years ago
What ordered pair is a solution of 5x-2y=18
vodka [1.7K]
(0,-9) could be a solution
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3 years ago
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