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mihalych1998 [28]
3 years ago
13

Use the quadratic formula to solve for x.

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

Step-by-step explanation:

Solve for x:

6 x^2 - 4 x = 1

Divide both sides by 6:

x^2 - (2 x)/3 = 1/6

Add 1/9 to both sides:

x^2 - (2 x)/3 + 1/9 = 5/18

Write the left hand side as a square:

(x - 1/3)^2 = 5/18

Take the square root of both sides:

x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

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Two groups of friends go to a movie. Each ticket costs the same amount. One group spends ​$57. The other group spends ​$95. List
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Answer:

1) All possible number tickets for group that spends $57: A, B, C, D

2) All possible number tickets for group that spends $95: B, C, E, F

3) Each ticket will cost at most $19

Step-by-step explanation:

We are told that one group spends $57 dollars while the other group spends $95.

Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket​ costs.

To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.

57: 1, 3, 19, 57

95: 1, 5, 19, 95

Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.

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Licemer1 [7]
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Step-by-step explanation:

Answers

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