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Mrrafil [7]
3 years ago
15

The answer for this problemAnd how to solve it

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
Your answer would be $28.02.
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Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
Contact [7]

Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
  • p × q = c / a = 12 / 3 = 4

{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

4 0
3 years ago
How many minutes are there in 4 hours and half
inn [45]
<h3>Answer:</h3>

270 minutes

<h3>Step-by-step explanation:</h3>

(60 minutes/hour) × (4.5 hours) = 270 minutes

5 0
3 years ago
What was the names of Jupiter’s big pet dog?
Rama09 [41]

IDK sorry bout that bud

8 0
3 years ago
3x-9=3(x-3) how many solutions​
Colt1911 [192]

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

3x - 9 = 3 ( x - 3 )        Equation

Step 2:

3x - 9 = 3x - 9       Multiply

Step 3:

- 9 = - 9       Subtract 3x on both sides

Answer:

All Real Numbers

Hope This Helps :)

4 0
2 years ago
Please solve for both it’s due tomorrow, easy points !
PSYCHO15rus [73]

Answer:

13. 0.145, 0.18, 0.206, 0.315

14. 1.75 times

<u><em>WARNING</em></u>

<em>im not completely sure sooo, Im really really sorry if you get it wrong</em>

8 0
2 years ago
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