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3 years ago

(x+2)·2x + (x-1)^2= 2 ?

Mathematics

2 answers:

lisov135 [29]3 years ago

5 0

Answer:

x = 1/3, x = -1.

Step-by-step explanation:

2x(x + 2) + (x - 1)² = 2

Distribute the 2x into x + 2.

2x² + 4x + (x - 1)² = 2

Square (x - 1).

2x² + 4x + x² - x - x + 1 = 2

Combine terms.

2x² + x² + 4x - 2x + 1 = 2

Combine terms again.

3x² + 2x + 1 = 2

Subtract 2 from both sides.

3x² + 2x - 1 = 0

Factor.

(3x - 1)(x + 1) = 0.

Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.

3x - 1 = 0

Add 1 to both sides.

3x = 1

Divide by 3.

x = 1/3.

x + 1 = 0

Subtract 1 from both sides.

x = -1.

PolarNik [594]3 years ago

5 0

Answer:

3x^2+2x+1 primero lo multiplicas y lo que te de lo sumas y asi sacas 3x^2+2x+1

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Help please -2x+3=x+12

BARSIC [14]

Step-by-step explanation:

-2x+3=x+12

combin like terms

-2x-x=12-3

-3x=9

x=9/-3

x=-3

3 0

2 years ago

Read 2 more answers

Helppppppppppppppppppp please

Svetlanka [38]

Answer:

$\sqrt[]{\frac{x+8}{4}}-3$

Step-by-step explanation:

$g(x)=4(x+3)^2-8$

First rewrite $g(x)$ as y

$y=4(x+3)^2-8$

Now swap y and x

$x=4(y+3)^2-8$

Add 8 on both sides.

$x+8=4(y+3)^2-8+8$

$x+8=4(y+3)^2$

Divide by 4.

$\frac{x+8}{4} =\frac{4(y+3)^2}{4}$

$\frac{x+8}{4}=(y+3)^2$

Extract the square root on both sides.

$\sqrt[]{\frac{x+8}{4}}=\sqrt[]{(y+3)^2}$

$\sqrt[]{\frac{x+8}{4}}=y+3$

Subtract 3 on both sides.

$\sqrt[]{\frac{x+8}{4}}-3=y+3-3$

$\sqrt[]{\frac{x+8}{4}}-3=y$

4 0

3 years ago

How do I draw a visual model using 1/6 of 18? Please help. I'm asking for my 5th grader. Thank you!

svp [43]

Answer:

Theory

Step-by-step explanation:

Take any 18 objects

For example in this case

Take 18 chocolates

$\frac{1}{6}$ means one sixth , which practically means how many groups of 6 can be formed

So, Try to divide 18 into groups of 6

Count how many such groups are formed(it will be 3)

So one sixth of 18 is 3

That is, 18 comprises of 3 groups, each group containing 6 chocolates

5 0

3 years ago

Slove system of equation.<br><br> 2x - 6y = 8<br> -3x + 9y = 12

Bond [772]

Answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y

7 0

2 years ago

Reese deposited $7500 for two years into a money market account. At the end of two years, she earned $1200 interest. What rate o

icang [17]

Answer:

She deposited $7500. So it is the principal.

At the end of years, she had total of $8700.

So the total amount is $8700 and the time period is 2 years.

Interest = Total amount - principal = $8700 - $7500 = $1200

We need the rate of interest.

we know that Interest = PTR/100

⇒1200 = 7500*2*R/100

⇒R = 1200*100/7500*2

⇒R = 120000/15000 = 8%

Rate of interest is 8%

Step-by-step explanation:

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3 years ago