True or false, to convert square meters to square yards, multiply 3 by 9.29 x 10^-2

What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

liq [111]

All the values of the x for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

Given-

Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let u in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

$u^2+100u-5u-500=0$

$u(u+100)-5(u+100)=0$

$(u+100)(u-5)=0$

Replace the value of u with $x^2$ ,

$(x^2+100)(x^2-5)=0$

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

$x^2-5=0$

further, solve it,

$x^2=5$

$x=\sqrt{5},-\sqrt{5}$

And another factor is

$x^2+100=0$

$x^2=-100$

$x=10i,-10i$

Hence, all the values of the x for the given function are $\sqrt{5},-\sqrt{5},$ $10i ,$ and $-10i$ .

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0

3 years ago

Which of the following illustrates the product rule for Logarithmic equations?

Aleksandr [31]

Try this option:
rule: logₐ(bc)=logₐb+logₐc;

according to the rule: log₂(4x)=log₂4+log₂x

answer: log₂4+log₂x

7 0

3 years ago

Read 2 more answers

A survey of 75 students was conducted to find out where the seventh grade wanted to go to visit College colleges and universitie

Nat2105 [25]

For this question, we need to find the unit rate. 7.5 is 10% of 75 (which we can find by dividing 75 by 10). Then, in order to get 30 from this, we would have to multiply 7.5 x 4. Because we multiplied this by 4, that hints to us that 40% of 75 is 30. With this knowledge, we can find 40% of 300, which when doing the math would be 120. Therefore, because 30/75 students would want to go to Clemson University, that means 120 students out of 300 would want to go to Clemson University. Thus, our answer is 120 students

4 0

2 years ago

The difference of the square of a number and 12 is equal to 4 times that number. find the negative solution.

dybincka [34]

Im sorry but Im not sure

4 0

3 years ago

Sophia is training for a beverage consumption competition. If Sophia can chug 13 beverages in 1 second, how many could she chug

kobusy [5.1K]

Answer:

Sophia could chug 26 beverages in 2 seconds

Step-by-step explanation:

If Sophia can chug 13 beverages in 1 second.

then, For 2 seconds

13 × 2 = 26

Thus, Sophia could chug 26 beverages in 2 seconds

-TheUnknownScientist

6 0

3 years ago