How many complex roots does 5x^6 + x^4 3 = 0 have?

1 answer:

5 0

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The best and most correct answer among the choices provided by the question is 4.

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Which of the following numbers can be exposed as repeated decimals? 5/7 4/5 7/9 5/8

rodikova [14]

Answer:

Step-by-step explanation:

5/7=.714285714 and so on

7/9=.777777778 and so on

5 0

3 years ago

Explain how you can find the sign of the product of two or more rational numbers.

makkiz [27]

Rational and product

6 0

3 years ago

when finding the distance between two rational numbers on a number line, does the order of the numbers you subtract matter?

sergeinik [125]

Answer:

the distance between two numbers and on the number line is . Note that the distance between two numbers is always positive, no matter the order. But the difference can be positive or negative, depending on the order.

Step-by-step explanation:

the distance between two points on a line is abs(x1-x2) which is a symmetric function abs(y)=abs(-y) so abs(x1-x2)=abs(-(x1-x2))=abs(x2-x1) so the order does not matter since you take abs after the subtraction.

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7 0

3 years ago

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil

mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast $= \frac{\sqrt{(2^2 + x^2)}}{4}$

The time is taken to reach Q after reaching the coast $= \frac{\sqrt{(1 + (3-x)^2)}}{4}$

Total time, $T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+ \frac{\sqrt{(1 + (3-x)^2)}}{4}$

This has to be minimum,

$\to \frac{dt}{dx} = 0$

$\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16 \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\$