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1 year ago

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k

Mathematics

1 answer:

koban [17]1 year ago

7 0

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

<u>-TheUnknownScientist</u><u> 72</u>

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Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.

fomenos

the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

$a_{n}=a_{1}r^{n-1}$

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

$a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\$

So, the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Keywords: Explicit formula for geometric sequence

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2 years ago

Using the problem below, solve and explain how you got the solution to the system of equation.

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If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k