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3 years ago

THIS IS MY LAST QUESTION I HAVE TO DO, PLEASE HELP ME!

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

The answer to the problem is 6,-6

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Which equation has the solutions x = -3 ± √3i/2 ?

Maurinko [17]

Answer:Answer is option C : [ $x^{2}$ + 3x + 3 ] =0

Note: None of options matches with given question.

instead of "-3" , there should be "- $\frac{3}{2}$ ".

Step-by-step explanation:

Note: None of options matches with given question.

instead of "-3" , there should be " $\frac{3}{2}$ ".

Here, First thing you have to observe the nature of roots.

∴ x = - $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i and x = - $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$

∴ [ x+( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) ][ x+( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + x( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i)+ x( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + $\frac{3}{2}$ x + $\frac{\sqrt{3}}{2}$ ix + $\frac{3}{2}$ x - $\frac{\sqrt{3}}{2}$ ix + (3- $\frac{\sqrt{3}}{2}$ i)(3+ $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{\sqrt{3}}{2}$ i)( $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{3}{4}$ ) $i^{2}$ ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ + ( $\frac{3}{4}$ ) ] =0

∴ [ $x^{2}$ + 3x + $\frac{12}{4}$ ] =0

∴ [ $x^{2}$ + 3x + 3 ] =0

Thus, Answer is option C : <em>[ $x^{2}$ + 3x + 3 ] =0 </em>

6 0

4 years ago

What is 13,931 round by 10

miv72 [106K]

Answer:

13,930

Step-by-step explanation:

hope this helps!

4 0

3 years ago

A taxi is charging you $1.50 per 500 meters. If you know your destination is 7.1 miles away, how much will the taxi cost you? Th

Anuta_ua [19.1K]

Answer:

$34.27

Step-by-step explanation:

First, we should make everything the same value, so convert the 7.1 miles into meters. (11,423.9 meters). Since we are trying to find a value <em>per</em> 500 meters, divide the 11,423.9 meters by 500 to get 22.8478. Multiply this number by $1.50 to get the value 34.2717 and since we are rounding to the cent, that would be $34.27

5 0

3 years ago

Read 2 more answers

Hey wanted to know how yo slove thia problem " Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single r

statuscvo [17]

She has 4 groups all together. 3 groups with ten rocks each and 1 group with 8 rocks(8/10).

4 0

3 years ago

A diver is a horizontal distance of 50 feet from a boat and 120 feet beneath the surface of the water. What distance will the di

amid [387]

Answer:

The answer is 130 feet

Step-by-step explanation:

Using Pythagoras' Theorem:

120² + 50² = diagonal²

diagonal² = 16900ft

diagonal = √16900

= 130ft

(Correct me if i am wrong)

4 0

3 years ago