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2 years ago

Factor and find all the roots of x^4 +x=0

Mathematics

1 answer:

Furkat [3]2 years ago

7 0

x⁴ + x = 0
x(x³) + x(1) = 0
x(x³ + 1) = 0
x = 0 or x³ + 1 = 0
- 1 - 1
x³ = -1
x = -1

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Which statement describes the relationship between x and y

musickatia [10]

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3 years ago

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BigorU [14]

Answer: 0.8

Step-by-step explanation:

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3 years ago

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kherson [118]

Answer:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

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Step-by-step explanation:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

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3 years ago

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2 years ago

Distance between parallel lines y=3x+10 and y=3x-20

Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula $d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}$ to find the distance from point $(x_0,y_0)$ to the line Ax+By+C=0.

The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

$d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}$ .

3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.

Answer: $d=3\sqrt{10}$ .

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2 years ago