Question

If x = 2-√3 , prove that $x^2 -4x + 1$ = 0

Answer 1

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Q:-If x = 2-√3 , prove that $x^2 -4x + 1$ = 0

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------>>>>Here is your answer<<<<--------

$⟹x = 2 - \sqrt{3}$

$⟹ {x}^{2} - 4x + 1 = 0$

put the value of x here :-

$⟹ {(2 - \sqrt{3} )}^{2} - 4(2 - \sqrt{3} ) + 1 = 0$

$⟹ {(2)}^{2} + {( \sqrt{3} )}^{2} - 2(2) \sqrt{3} ) - 8 + 4 \sqrt{3} + 1 = 0$

$⟹4 + 3 - 4 \sqrt{3} - 8 + 4 \sqrt{3} + 1 = 0$

$⟹7 + 1 - 8 = 0$

$⟹8 - 8 = 0$

hence,proved

HOPE IT HELPS YOU..

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