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Usimov [2.4K]
3 years ago
7

For what values of a does the equation a+x= 1+xa^2 have no solution?

Mathematics
1 answer:
Anton [14]3 years ago
7 0

Answer:

We have the equation

a+x= 1+xa^2

we leave the terms with x on the left side of the equation and the independent terms on the right side.

x-xa^2=1-a\\(1-a^2)x=1-a\\

resolving for x we have that

x=\frac{1-a}{1-a^2}

Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when 1-a^2=0\\1=a^2\\a=\pm1

Then, for a=\pm1 the equation hasn't solution

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jok3333 [9.3K]
What is the weight of the cow?
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3 years ago
Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.
Harman [31]

Answer: 2x^2+2x-4-\frac{4}{x+1}

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1  ║ 2 | 4 | -2 | -8

   ║    | -2| -2 |  4

   ║ 2 | 2|  -4 |  -4

2x^2+2x-4-\frac{4}{x+1}

PS: if anyone knows a better way to do a synthetic division chart please let me know.

5 0
1 year ago
Multiply: (x+4)(x^2+2x+3) <br> Simplify and write your answer in Standard Form.
Oxana [17]

Answer:

x^3+6x^2+11x+12

Step-by-step explanation:

(x+4)(x^2+2x+3)

=x(x^2+2x+3)+4(x^2+2x+3) [by multiplying with bith sides]

=x^3+2x^2+3x+4x^2+8x+12

=x^3+2x^2+4x^2+3x+8x+12

=x^3+6x^2+11x+12

(please mark me brainliest)

6 0
1 year ago
How to convert y = - 2\5 x to standard form
coldgirl [10]
Bring it to the form ax + by = c, where a is positive, and there are no fractions in the equation.
Here, we need to add 2/5x to both sides:
2/5x + y = 0
Then multiply everything by 5 to get rid of the fraction
2x + 5y = 0 <==
5 0
3 years ago
A scientist is studying wildlife in Ohio and she estimates that the population of bats is tripling every year. If she had counte
Sloan [31]

The number of bats that there would be in 2021 would be 768,000.

<h3>What would be the number of bats in 2021?</h3>

The formula that can be used to determine the future value of bats in 2021 is:

FV = P (1 + r)^n

Where:

  • FV = Future value
  • P = Present value = 3000
  • R = interest rate = 300%
  • N = number of years = 4

3000(1 + 3)^4

3000 x 4^4 = 768,000

To learn more about future value, please check: brainly.com/question/18760477

8 0
2 years ago
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