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Ilia_Sergeevich [38]
3 years ago
15

What is the solution of x = 2 + StartRoot x minus 2 EndRoot?

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0

Answer:

x = 2 or x = 3

Step-by-step explanation:

we have the expression:

x=2+\sqrt{x-2}

First we must remove the square root, for this we pass the 2 to the left:

x-2=\sqrt{x-2}

and we move the square root to the left as an exponent of two:

(x-2)^2=x-2

We develop the square binomial:

x^2-4x+4=x-2

and clear the right side for the equation to be equal to zero:

x^2-4x+4-x+2=0

combining like terms:

x^2-5x+6=0

Because it is a quadratic equation we will have two answers, which we can find by the general formula or by factoring:

To factor we open two parenthesis, both with an x, and look for two numbers that when multiplied result in +6 and when added result in -5, those numbers are -2 and -3, so the factoring is:

(x-2)(x-3)=0

And now we use the Zero Product Property, whic is if two thing are multiplied and result in zero one of the two or both things must zero, in this case:

(x-2)=0\\x=2

and

(x-3)=0\\x=3

the solutions are: x = 2 or x = 3; both satisfy the equation.

Bad White [126]3 years ago
4 0

Answer:

Option C on E2020

Step-by-step explanation:

Got 100% on pretest

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ivanzaharov [21]

The student is incorrect, the actual x-intercept is (5, 0).

<h3>Is the student correct or incorrect?</h3>

Here we have the equation:

x + 2y = 5

The student says that the x-intercept is the point (0, 5).

So if you look at the point you already can see that the student is incorrect, this is because the x-intercept always must have a y-value of 0. (the graph only intercepts the x-axis when y = 0).

So the point (0, 5) can't be an x-intercept.

For the given function:

x +2y = 5

The x-intercept is given by:

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Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 3, 9, 27
r-ruslan [8.4K]

a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number

might be confusing so here's an example

1,2,4,8,16

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formula for geometric sequence is

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in our example

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each term is being multiplied by 3 so it is a geometric sequence and thus r=3

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

two of the sides have to be the same

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Answer:

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Step-by-step explanation:

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