Math, asked by Shubham300, 1 year ago

If x= 2+√3/2-√3.show that x^2-14x+1=0

Answers

Answered by abhi178
1
x = ( 2 + √3)/( 2 - √3)

x = (2 + √3)(2 + √3)/( 2 - √3)(2 + √3)

x = (2 + √3)²/(2² -√3²)

x = ( 2² + √3² + 4√3)/( 4 - 3)

x = ( 7 + 4√3)

x - 7 = 4√3

take sqaure both sides,

(x - 7)² = (4√3)²

x² - 14x + 49 = 4√3 × 4√3 = 48

x² - 14x + 49 - 48 = 0

x² - 14x +1 = 0

hence, proved//
Answered by nikitasingh79
1
hope this will help you
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