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Katyanochek1 [597]
3 years ago
8

Square of a binomial x^2+2x+1

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0
To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square. 
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial. 
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2. 
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial. 
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1. 
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
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X² + y² = 8
ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

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2 years ago
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jenyasd209 [6]
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8 0
3 years ago
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What is the square root of 600
dmitriy555 [2]

Answer:

24.495 if they want it as a radical, it would be positive or negative radical 600.

Step-by-step explanation:

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Please any help is necessary
Ugo [173]

Answer:

Option D. 50 ft

Step-by-step explanation:

we know that

The area of the figure is equal to the area of three rectangles

so

A=18x+(48-36)(32-11)+(18)(32)

A=18x+(12)(21)+(18)(32)\\A=18x+828

Remember that the area is given

A= 1,728\ ft^2

so

18x+828=1,728

solve for x

18x=1,728-828\\18x=900\\x=50\ ft

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3 years ago
Please Help! Quickly image below with question
GrogVix [38]

Answer:

12742π Km

Step-by-step explanation:

The length of the rope is the circumference of the circle, that is

C = 2πr ( r is the radius ) Here r = 6371

C = 2π × 6371 = 12742π Km

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3 years ago
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