4 years ago

Solve the equation 12a3 + 12a2 = -3a. Show all work.

Mathematics

1 answer:

Artist 52 [7]4 years ago

7 0

12a³ + 12a² = -3a | + 3a

12a³ + 12a² + 3a = 0

3a(4a² + 4a + 1) = 0

3a(2a + 1)² = 0

3a = 0 or (2a + 1)² = 0

1) 3a = 0 | : 3

a = 0

2) (2a + 1)² = 0

2a + 1 = 0 | - 1

2a = -1 | : 2

a = -1/2

a ∈ {-1/2, 0}

Used formula:

(a + b)² = a² + 2ab + b²

You might be interested in

the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?

DENIUS [597]

Answer:

Step-by-step explanation:

yyyyyyyyyyyyyyyyyyyyyy

5 0

3 years ago

X + y2 = 25 x + 3y = 33

Advocard [28]

Are these 2 different questions or is this one equation

7 0

3 years ago

Find the missing angle.<br> (PLEASEEE HURRYYY)

barxatty [35]

Answer:

Step-by-step explanation:

360 - (100+91+95) = 74

Because angles in a quadrilateral add upto 360 degrees

7 0

3 years ago

For his long distance phone service, Ivan pays a $3 monthly fee plus 11 cents per minute. Last month, Ivan's long distance bill

Anna71 [15]

To find the answer, you would first subtract 17.19-3=14.19. Then, divide 14.19/0.11=129. He was billed for 129 minutes
(You divide 14.19/0.11 because 0.11= 11 cents

3 0

3 years ago

The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers

Andrews [41]

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

$B=5+A$

Their sum is 59. So:

$A+B=59$

This is a system of equations. Solve by substituting the first equation into the second. Thus:

$A+(5+A)=59$

Combine like terms:

$2A+5=59$

Subtract 5 from both sides:

$2A=54$

Divide both sides by 2:

$A=27$

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!

4 0

3 years ago