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bonufazy [111]
3 years ago
14

Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

The quadratic equation is x^2-2x-4

Step-by-step explanation:

We want to know the equation that has the solution below;

x = 1 ± √5

This means x = 1 + √5 or 1 - √5

The equation would thus be;

(x-1-√5)(x-1+ √5)

= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)

Opening the brackets we have ;

x^2-x+ √5x-x + 1 -√5-√5x+ √5-5

collecting like terms we have;

x^2-2x+1-5

= x^2-2x-4

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You are having a discussion about sequences with your classmate. She insists that the sequence 2, 3, 5, 8, 12 must be either ari
Marizza181 [45]
If arithmetic, then there is a common difference
if geometric, then there is a common ratio

to find the common ratio or difference

if you subtract successive terms from each other, they should have the same result if it is aritmetic
if you divide successive terms by each other, they should have the same result if it is geometric


2,3 and 5

3-2=1
5-3=2
2≠1
not aritmetic

3/2=1.5
5/3=1.66666
1.5≠1.6666
not geometric

she is wrong
4 0
3 years ago
Find limit as x approaches 1 for x-1/ x^2-3x+2
zysi [14]

I'm going to assume that you meant the following:

  (x-1)

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x^2-3x+2


Factoring the denominator, we get:

  (x-1)

------------  

(x-1)(x-2)

Notice that we have x-1 in both the numerator and the denominator.  This factor cancels.  HOWEVER:  x can still not equal 1, which would lead to div. by zero.  With the factor x-1 cancelled, we have   1 / (x-2).  As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1.  Thus, the limit exists and is -1.

8 0
3 years ago
In the 7th grade, 150 of the students are attending the dance. If this is 62.5% of the entire grade, how many 7th graders are th
JulijaS [17]

Answer:

244 students.

Step-by-step explanation:

Okay, so. We know 150 people of the 7th grade is coming and 62.5% is the entire of the 7th graders coming. We would multiply.

150 * 62.5% = 93.75

We would round it up. It is over 5, so it would be 94 students. Then we would add

150 + 94 = 244

There are 244 students in 7th grade.

3 0
3 years ago
Simplest form 1/4 + 1/12
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5/12 is the simplest form that it can be simplified to.

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4 years ago
What is the angle formed by the minute and hour hands of a clock when it is 6:00
nlexa [21]

the angle would be 180

7 0
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