if xsq+1/xsq=79 what is the value of x+1/x
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Given -
x² + ( 1 / x² ) = 79
{ Using Identity -
( a + b )² = a² + b² + 2ab
•°•
a² + b² = ( a + b )² - 2ab }
Here, a = x and b = 1 / x
•°•
( x + 1 / x )² - 2 × x × 1 / x = 79
( x + 1 / x )² - 2 = 79
( x + 1 / x )² = 81
x + 1 / x = √ 81
x + 1 / x = 9
^^"
x² + ( 1 / x² ) = 79
{ Using Identity -
( a + b )² = a² + b² + 2ab
•°•
a² + b² = ( a + b )² - 2ab }
Here, a = x and b = 1 / x
•°•
( x + 1 / x )² - 2 × x × 1 / x = 79
( x + 1 / x )² - 2 = 79
( x + 1 / x )² = 81
x + 1 / x = √ 81
x + 1 / x = 9
^^"
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