if X square + 1 by x is equal to 7 find the value of x square + 1 by x square
Answers
Answered by
15
Correct Question:
If x + 1/x = 7, then find the value of x² + 1/x²
AnswEr:
x² + 1/x² = 47
ExplanaTion:
We know that,
( a + b )² = a² + b² + 2ab
Compare, a = x and b = 1/x
Put the value of x + 1/x.
=> (7)² = x² + 1/x² + 2x ( 1/x )
=> 49 = x² + 1/x² + 2
=> 49 - 2 = x² + 1/x²
=> x² + 1/x² = 47
Hence, value of x² + 1/x² is 47.
Answered by
1
Step-by-step explanation:
Aloha !
x²+1/x²=7
Considering x=a and 1/x=b
(a+b)²=(7)²
a²+b²+2ab=49
(x)²+(1/x)²+2x.1/x=49
x²+1/x²+2x/x=49
x²+1/x²+2=49
x²+1/x²=49-2
x²+1/x²=47
concept we here is one of algebra identity (a+b)²=a²+b²+2ab.
Thank you
@ Twilight Astro ✌️☺️♥️
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