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PIT_PIT [208]
3 years ago
14

(x + 1)^2 = 3x – 1 solving Quadratics ?

Mathematics
2 answers:
Deffense [45]3 years ago
5 0

Step-by-step explanation:

(x + 1)^{2}  = 3x - 1 \\  \\  \therefore \:  {x }^{2}  + 2x + 1 = 3x - 1 \\  \\ \therefore \:  {x }^{2}  + 2x + 1  -  3x  + 1 = 0\\  \\ \therefore \:  {x }^{2}  + 2x  -  3x + 1 - 1 = 0 \\  \\ \therefore \:  {x }^{2}  - x  = 0 \\  \\ \therefore \:  x(x - 1) = 0 \\  \\ \therefore \: x = 0 \:  \: or \:  \: x - 1 = 0 \\  \\ \therefore \: x = 0 \:  \: or \:  \: x = 1 \\  \\  \huge{ \red{ \boxed{\therefore \: x =  \{0, \:  \: 1 \}}}}

FromTheMoon [43]3 years ago
4 0

Answer: x = - 1 or x = 2

Step-by-step explanation:

The given quadratic equation is expressed as

(x + 1)^2 = 3x – 1

Expanding the brackets, it becomes

(x + 1)(x + 1) = 3x - 1

x² + x + x + 1 = 3x - 1

x² + 2x - 3x + 1 + 1 = 0

x² - x + 2 = 0

We would find two numbers such that their sum or difference is -x and their product is 2x^2. The two numbers are x and 2x. Therefore,

x² + x - 2x + 2 = 0

x(x + 1) - 2(x + 1) = 0

(x + 1)(x - 2) = 0

x + 1 = 0 or x - 2 = 0

x = - 1 or x = 2

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Answer:

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For the second question (How much more per year will this be if she works 50 weeks per year), the answer is 25$ extra a year.

First i multiplied $12 times 36.

$12 x 36 = $432

Then i multiplied $15 times 4.

$15 x 4 = $60

Now add those together

$432 + $60 = $492

That's how much she would make in a week for the first job, if she worked 40 hours a week.

For the second job, i did the exact same process.

$11.50 x 35 = $402.5

$18 x 5 = $90

$402.5 + $90 = $492.5

She would get 50 more cents a week, if she worked 40 hours a week.

For the second question, i multiplied the first job total by 50, since she is working 50 weeks a year.

$492 x 50 = $24,600

Thats her total of a year, for the first job.

Do this with the second job.

$492.5 x 50 = $24,625

As you can see, she would get $25 more in the second job, than the first job.

I hope this helped!

7 0
3 years ago
WILL GIVE BRAINLIEST!!!
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because

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Answer:

The student's overall grade is 85.79%

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Given in the question that:

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A particular student scored the following;

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