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RoseWind [281]
3 years ago
8

Select the correct answer. What are the solutions of this quadratic equation? -3x2 + 1 = 3x − 2

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer: Answer:

x

=

−

1

2

+

−

1

2

5

or

x

=

−

1

2

+

1

2

5

Step-by-step explanation:

Let's solve your equation step-by-step.

−

3

x

2

+

1

=

3

x

−

2

Step 1: Subtract 3x-2 from both sides.

−

3

x

2

+

1

−

(

3

x

−

2

)

=

3

x

−

2

−

(

3

x

−

2

)

−

3

x

2

−

3

x

+

3

=

0

Step 2: Use quadratic formula with a=-3, b=-3, c=3.

x

=

−

b

±

b

2

−

4

a

c

2

a

x

=

−

(

−

3

)

±

(

−

3

)

2

−

4

(

−

3

)

(

3

)

2

(

−

3

)

x

=

3

±

45

−

6

x

=

−

1

2

+

−

1

2

5

or

x

=

−

1

2

+

1

2

5

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wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors  = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

=  x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4  + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

7 0
4 years ago
What is the five-number summary for this data set?
Vikki [24]

Step-by-step explanation:

17, 21, 22, 26, 28, 31, 33, 41, 46, 52

min: 17

Q1: 26

median: 28

Q3: 31

max: 52

3 0
1 year ago
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
hichkok12 [17]

Answer:

60cm

Step-by-step explanation:

200*3/10=20*3=60

6 0
2 years ago
7/9+6/8+6/3=<br>please help me​
Arada [10]

Hi ;-)

7/9 + 6/8 + 6/3 = 7/8 + 3/4 + 2 =

= 28/32 + 24/32 + 2 = 52/32 + 2 =

= 1 20/32 + 2 = 3 20/32 = 3 5/8

4 0
3 years ago
Read 2 more answers
Two girls have $76 between them. If the first gave the second $7 they would each have the same amount of money. How much did eac
Tomtit [17]
Find the money that both the girls will equally have. 
76/2 = 38
So, imagine this, take 7 dollars from girl 2 and give it back to girl 1, you would essentially to the opposite of what the question said. 
So, girl 2: 38 - 7 = 31
Girl 1: 38 + 7 = 45
To test if we got it right, add 31 and 46, and we get 76!
6 0
3 years ago
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