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rosijanka [135]

3 years ago

13

What are the opposites of these numbers

1 answer:

MakcuM [25]3 years ago

8 0

Would it be
1) -4.25
2) -5 1/4
3) -1/2
4) -2 1/3
5) 3.85
6) 6.1

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How can you find 27 + (-40)

Viefleur [7K]

Answer:

27 + (-40) = -13

Step-by-step explanation:

27 + (-40)

= 27 - 40

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What is the result of (x^2 – 10x) – (–5x^2 + x)?

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Answer:

$( {x}^{2} - 10x) - ( - 5 {x}^{2} + x) \\ {x}^{2} - 10x + 5 {x}^{2} - x \\ \boxed{6 {x}^{2} - 11x}$

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3 years ago

Why did Martin Luther write the 95 theses?

Georgia [21]

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3 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago