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Licemer1 [7]
3 years ago
6

If x = 2 + √3, then the value of (x + 1/x) is?

Mathematics
2 answers:
cupoosta [38]3 years ago
6 0

Answer:

so x+1/x=4

Step-by-step explanation:

x=2+√3

for 1/x we take reciprocal of x

1/x=1/2+√3

first we will rationalize 1/x

multiplying and dividing by 2-√3

1/x=1/2+√3  × 2-√3/2-√3

1/x=2-√3/(2+√3)(2-√3)

as we know that (a-b)(a+b)=a²+b²

1/x=2-√3/(2)²-(√3)²

1/x=2-√3/4-3

1/x=2-√3

now x+1/x

x+1/x=2+√3+2-√3

2+2+√3-√3

x+1/x=4

i hope it will help you

Marizza181 [45]3 years ago
4 0
The value would be 3
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Writing the matrix A :

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We found out that the image of \left[\begin{array}{c}4&-4\end{array}\right] through T is the vector \left[\begin{array}{c}24&-8\end{array}\right]

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