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3 years ago

11

I really need help!!!!

2 answers:

dimaraw [331]3 years ago

6 0

Answer:

I'm not sure on the answers but I'll give you a little tip you can look at the back of your math book and it will actually give you some of the answers:))

Dafna1 [17]3 years ago

3 0

Answer:

Yeah if you flip to the back it should give you what you need lol

Step-by-step explanation:

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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

Find g(x)-f(x) if f(x)=-3+4 and g(x)=5x-12

Verizon [17]

Answer: g(x)-f(x)=8x-16

Explanation:

f(x)=-3x+4 (I am assuming "-3+4" is a typo and it is "-3x+4")

g(x)=5x-12

g(x)-f(x)=(5x-12)-(-3x+4)=5x+3x-12-4=8x-16

6 0

3 years ago

-k - (-8k)!!!<br><br> Hdisidjdidjdkdkdjenenenen

aliina [53]

Answer:

7k

Step-by-step explanation:

-k - -(8k): the - sign cancels out the - in 8k so it would only leave -k+8k=7k

5 0

3 years ago

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The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your

dalvyx [7]

342/18 18 x 10= 180 342 - 180= 162 18 x 9= 90 + 72= 162 10+9= 19 The answer is 19

7 0

3 years ago

The correct answer plz!!!!!!!

Lelechka [254]

It would be 97 years

8 0

3 years ago

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