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Goshia [24]
3 years ago
12

Hey can you please help me posted picture of question :)

Mathematics
2 answers:
evablogger [386]3 years ago
7 0
Answer:
The roots are -3+√6 and -3-√6

Explanation:
First, we would need to put the equation in standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
x² + 6x + 9 - 6 = 0
x² + 6x + 3 = 0

By comparison:
a = 1
b = 6
c = 3

Now, to get the roots, we will need to used the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = -3 + √6
or x = -3 - √6

Hope this helps :)

mixas84 [53]3 years ago
4 0
The roots are letter A and B. 
You can solve it by using quadratic formula
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Step-by-step explanation:

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Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

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The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

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7 0
3 years ago
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olya-2409 [2.1K]

Answer:

Far left one, A

Step-by-step explanation:

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