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elixir [45]
3 years ago
10

Solve 3x^2=-12-6x by completing the square​

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

x = - 1 ± i \sqrt{3}

Step-by-step explanation:

Given

3x² = - 12 - 6x ( add 6x to both sides )

3x² + 6x = - 12 ( divide through by 3 )

x² + 2x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 4 + 1

(x + 1)² = - 3 ( take the square root of both sides )

x + 1 = ± \sqrt{-3} = ± i \sqrt{3} ( subtract 1 from both sides )

x = - 1 ± i \sqrt{3}

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Find domain and range -√x-5+10
inysia [295]
When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)

But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
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8 0
3 years ago
For which equations below is x = -3 a possible solution? Select three options.
yaroslaw [1]

Answer:

-|x|=-3

|x|=-3

|-x|=-3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Quirky Elf has 3.36 kilograms of fudge and 2.28 kilograms of divinity candy. He estimates that he has about 1 more kilogram of f
inysia [295]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Can someone pls solve this​
denpristay [2]

Answer:

in triangle PQR, <P - <Q = 20 degrees, <Q - <R = 50 degrees, find <P, <Q, <R

Q = 30, R = 80, P = 50

Step-by-step explanation:

in triangle PQR, <P - <Q = 20 degrees, <Q - <R = 50 degrees, find <P, <Q, <R

R  =  Q +50, 80=30+50

P  =  Q + 20, 50=30+20

Q = 30, R = 80, P = 50

3 0
2 years ago
The product of 6 and the sum of a number and 3 is 60
Alina [70]

Answer:

sorry I dont know

Step-by-step explanation: sorry i dont know

7 0
3 years ago
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