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kaheart [24]
3 years ago
7

How many real-number solutions does the equation have?

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120  > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution
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What is the solution of<br><br>log6x + log6(x + 5) = 2?
exis [7]

Answer:

Doesn't have solution.

Step-by-step explanation:

x ≠ 0; x > 0 (I)

x - 5 > 0

x > 5 (II)

log_6 x + log_6 (x + 5) = 2 \\\ log_6 [x(x + 5)] = 2 \\\ x^2 + 5x = 36 \\\ x^2 + 5x - 36 = 0 \\\ \Delta = 5^2 - 4.1.(- 36) \\\ \Delta = 169 \\\ \sqrt{\Delta} = \pm 13 \\\ x' = \frac{- 5 + 13}{2} \\\\ x' = 4 \\\ x" = \frac{- 5 - 13}{2} \\\\ x" = - 9

Then, this expression doesn't have solution.

I Hope I've helped you.

4 0
3 years ago
Read 2 more answers
I need help with these questions
Lunna [17]

Answer:

5 ,  6,  2

Step-by-step explanation:

cause they da same

5 0
3 years ago
Question 2 (Essay Worth 10 points)
sashaice [31]
Ryan is correct, the mean is about 8.1.

To find the mean, you have to add up all the values, then divide by the total amount.

For Sample A:
60 x 6 + 90 x 7 + 145 x 8 + 150 x 9 + 55 x 10 = 4050

If you add up all the adults, you have 500.

Dividing 4050 by 500 = 8.1

Sample B will produce a very similar result.
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find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times
Vlad1618 [11]

Answer:

DANG some of these questions are from like 2017 and still havent been answerd

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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