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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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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32
zavuch27 [327]

Hypotenuse =39cm of right angle triangle! .

<u>Step-by-step explanation:</u>

Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32  centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the  length of the hypotenuse is 7.5 centimeters. We need to find:

A)

We have , One length as 32 cm and other as 25 cm , as

Perpendicular = 32cm\\Base=25cm

By Pythagoras Theorem ,

⇒ Hypotenuse^2 = Perpendicular^2+Base^2

⇒ Hypotenuse^2 =32^2+22^2

⇒ \sqrt{Hypotenuse^2} =\sqrt{1024+484}

⇒ Hypotenuse =39cm

So , Hypotenuse =39cm of right angle triangle! .

4 0
3 years ago
Read 2 more answers
PLZ HELP ASAP One pump fills a tank 4 times as fast as another pump. If the pumps work​ together, they fill the tank in 20 minut
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It takes the faster pump 12 minutes to fill the tank.

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3 0
3 years ago
Verizon offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls, and Plan 2 charges $11 per m
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Number of monthly calls = 475

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6 0
2 years ago
-2=-(n-8)=<br> Help please!??
motikmotik

Answer:

n = 10

Step-by-step explanation:

move all terms to the left:

-2-(-(n-8))=0

calculate terms in parentheses: -(-(n-8)), so:

-(n-8)

get rid of parentheses

-n+8

add all the numbers together, and all the variables

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go back to the equation:

-(-1n+8)

get rid of parentheses

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7 0
3 years ago
What is the answer for 9-0-5-(-20)+(-13)?
Nitella [24]

The correct answer is: 11

Here’s how you solve it!

You can remove the 0 since when you add or subtract 0 it stays the same.

Then you would want to look at the first set of parentheses (-20)

Since it is -(-20) this changes the sign to a positive +20

9-5+20+(-13)

Now since the + is in front of the (-13) it remains the same.

Now you are left with this:

9-5+20-13

9-5=4

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Then you are left with your answer: 11

Hope this helps! :3

4 0
3 years ago
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