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3 years ago

Solve for x: 3x^2+6x=2

Mathematics

2 answers:

vekshin13 years ago

7 0

Answer:

x = -1±sqrt(5/3)

Step-by-step explanation:

3x^2+6x=2

We will use completing the square

Factor out a 3 on the left

3(x^2 +2x) = 2

Divide each side by 3

3/3(x^2 +2x) = 2/3

(x^2 +2x) = 2/3

2/2 = 1 1^2 =1

Add 1 to each side

(x^2 +2x+1) = 2/3+1

(x+1) ^2 = 2/3 +3/3

(x+1)^2 = 5/3

Take the square root of each side

sqrt((x+1)^2) = ±sqrt(5/3)

x+1 = ±sqrt(5/3)

Subtract 1 from each side

x+1-1 = -1±sqrt(5/3)

x = -1±sqrt(5/3)

Fantom [35]3 years ago

5 0

Answer:

the answer is A.) x= 2/3 on edge 5 stars is this helped

Step-by-step explanation:

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Hello from MrBillDoesMath!

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

myrzilka [38]

Answer:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}\ of\ \frac{3}{5}$

Solving (a): Multiplication sentence

$\frac{2}{3}\ of\ \frac{3}{5}$

Rewrite of as *

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}$

Solve

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Hence, the multiplication sentence is:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

Draw a rectangle
Partition in to 5 equal parts (5 represents the denominator)
Shade 2 of the 5 partitions (2 represents the numerator)

See attachment for model

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3 years ago

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Marat540 [252]

Answer:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Step-by-step explanation:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

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