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3 years ago

Solve the Equation x^5-5x^3+4x=0

Mathematics

1 answer:

aev [14]3 years ago

8 0

Answer:

x = 2 or x = 1 or x = 0 or x = -1 or x = -2

Step-by-step explanation:

Solve for x:

x^5 - 5 x^3 + 4 x = 0

The left hand side factors into a product with five terms:

x (x - 2) (x - 1) (x + 1) (x + 2) = 0

Split into five equations:

x - 2 = 0 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0

Add 2 to both sides:

x = 2 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0

Add 1 to both sides:

x = 2 or x = 1 or x = 0 or x + 1 = 0 or x + 2 = 0

Subtract 1 from both sides:

x = 2 or x = 1 or x = 0 or x = -1 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 2 or x = 1 or x = 0 or x = -1 or x = -2

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PLS HELP!! WILL MAKE BRAINLIEST!!!!

poizon [28]

Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

$(33,-22)\\(52,-33)$

$\frac{-22-33}{33-52} =\frac{-55}{-19}=\frac{55}{19}$

Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

$(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b$

Now just solve for b to get the y intercept:

$-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\ -\frac{4741}{19}=b$

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

$0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x$

And that's the x-intercept.

5 0

2 years ago

Read 2 more answers

Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr

aleksley [76]

727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
x ≤ $475.79 727.29 − 248.50 + x ≥ 500
x ≥ $21.21 727.29 – 248.50 - x ≤ 500
x ≤ $21.21

6 0

3 years ago

Find the distance between the following coordinates: I(-a,b), J(a,b)

olchik [2.2K]

Answer:

Step-by-step explanation:

using distance formula:

√(x₂-x₁)² + (y₂-y₁)²

putting values,

√{a-(a)}² + {b-b}² = √ {a+a}² + 0²

= √(2a)² = √4a² = 2a

Hope this helps:)

8 0

3 years ago

Help me in question 7

andriy [413]

I think it’s either b or c

8 0

3 years ago

Read 2 more answers

Can someone please tell me what the equation for this will be.

Papessa [141]

Answer:

y = 0.8x + 0.5

Step-by-step explanation:

First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1.1 - 0.9}{0.75 - 0.5} = \frac{0.2}{0.25} = 0.8$

m = 0.8

Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b

Thus:

0.9 = (0.8)(0.5) + b

0.9 = 0.4 + b

0.9 - 0.4 = b

b = 0.5

To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.

Thus:

y = 0.8x + 0.5

7 0

3 years ago