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2 years ago

Which of the following are solutions to the equation below?

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

6 0

Answer:

x = (√10 -3)/2 and (-√10 -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10 -3

2x = ±√10 -3

Divide each side by 2

2x/2 = (±√10 -3)/2

x = (±√10 -3)/2

There are two solutions

x = (√10 -3)/2

and (-√10 -3)/2

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3 years ago

In a school, only 13 out of 15 student participate in a competition.what is the probability of the student who do not makes it t

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Answer:

$\frac{2}{15}$

Step-by-step explanation:

Number of students participating in the competition = 13.

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3 years ago

David uses 1/2 cup of apple juice for every 1/4 cup of cranberry juice to make a fruit drink. Enter the number of cups of apple

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Answer:

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Step-by-step explanation:

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3 years ago

Solve. 4x + 10= 2x – 14

hammer [34]

Answer:

x = -12

Step-by-step explanation:

Step 1: Subtract 2x from both sides

2x + 10 = -14

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8 0

3 years ago

Read 2 more answers

The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?

kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

$x + y = 23\\x * y = 132$

From the first equation we have to:

$x = 23-y$

We substitute in the second equation:

$(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0$

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

$(y-11) (y-12) = 0$

Thus, the solutions are: $y_ {1} = 11\\y_ {2} = 12$

So, we can take any of the solutions:

With $y = 11$

Then $x = 23-11 = 12$

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

The ages of the children are 11 and 12 respectively.

6 0

3 years ago