Question

if x=5+2 root 6 find x Sq +1/x square​

Answer 1

to be summitet your question. you are acually asking:

p=5+2√6

x=1p

p2+x2=?

Well, let's start by finding x value.

x=1p=15+2√6

we have to multiply 5+2√6 with 5−2√6 because we can't keep a root as denominator, i don't know why we do, neither my teacher's. Anyway when we multiple:

15+2√6×5−2√65−2√6 we should write as if we are dividing 5−2√6 to itself for some reasons, I assume you figured out. Additionally when we multiple for instance (a+b) with (a−b) we will have a2−b2.

x=5−2√625−24=5−2√6

Well, we have now found the value of x but there's one more step we need to do: Factorizing p2+x2

p2+x2=p2+(1p)2=(p+1p)2−2

So let's find the answer:

(p+1p)2−2=(5+2√6+5−2√6)2−2=(5+5)2−2=102−2=100−2=98

The answer is 98

I know it seems intimidating since I wrote a long aswer, this is the best I can do, I assume you are 9th grade or sophomore, so I just suggest you to look factorising rules. You find the answer via factorising.

Good Luck!!!

Answer 2

here you go

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