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2 years ago

Please help!!!

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

5 0

D because you need to make the denominators have a common multiple.

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Find all the zeros of the equation<br> -3x^4 + 27x^2 + 1200 = 0

guajiro [1.7K]

Answer:

$\displaystyle x=-5,\ x=5,\ x=4i,\ x=-4i$

Step-by-step explanation:

Biquadratic Equation

It's a fourth-degree equation where the terms of degree 1 and 3 are missing. It can be solved for the variable squared as if it was a second-degree equation, and then take the square root of the results

Our equation is

$\displaystyle -3x^4+27x^2+1200=0$

If we call $y=x^2$ , our equation becomes a second-degree equation

$\displaystyle -3y^2+27y+1200=0$

Dividing by -3

$\displaystyle y^2-9y-400=0$

Factoring

$\displaystyle (y-25)(y+16)=0$

It leads to these solutions

$\displaystyle y=25\ ,\ y=-16$

Taking back the change of variable, we have for the first solution

$\displaystyle x^2=25\Rightarrow x=-5,x=5$

Now for the second solution, we get imaginary (complex) values

$\displaystyle x^2=-16\Rightarrow x=4i,\ x=-4i$

Summarizing, the four solutions for x are

$\displaystyle x=-5,\ x=5,\ x=4i,\ x=-4i$

5 0

3 years ago

Solve the following inequality for s. Write your answer in simplest form.

Doss [256]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

$\qquad \sf \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8$

$\qquad \sf \dashrightarrow \: - 10 + 5(86) < - 4s - 5$

$\qquad \sf \dashrightarrow \: - 10 +430 < - 4s - 5$

$\qquad \sf \dashrightarrow \: 420 + 5 < - 4s$

$\qquad \sf \dashrightarrow \: 42 5 < - 4s$

$\qquad \sf \dashrightarrow \: 42 5 \div 4 < - s$

$\qquad \sf \dashrightarrow \: 106.25 < - s$

Inequalities change when it is multiplied by -ve number

$\qquad \sf \dashrightarrow \: - 106.25 > s$

3 0

2 years ago

Read 2 more answers

16y2 – 64<br> What is the answer to this problem

Elodia [21]

Answer:

448 is the answer to 16y2 – 64.

8 0

3 years ago

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Devaughn is 13 years younger than Sydney. The sum of their ages is 75 . What is Sydney's age?

barxatty [35]

S= Sydney
devaughn= s-13

so s+s-13=75
2s-13=75
now I think you can solve the rest.

6 0

3 years ago

mr yosgi has 75 papers he graded 60 of them and let a student grade the rest what percent if the papers did each person grade?

Alika [10]

He graded 60/75 papers.

If you divide these numbers instead of trying to simplify it equals the decimal 0.8.

If you move the decimal point two places to the right it's 80%.

6 0

4 years ago