Question

If one of the zeroes of the polynomial is x²-4x+1 is
$(2 \sqrt{3)}$
,write the other zero​

Answer 1

$\underline{\boxed{\bold{Question}}}$  

↠ If one of the zeroes of the polynomial is x²-4x+1 is (2√3) , then find other root.

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$\underline{\boxed{\bold{Important\;Information}}}$  

❏ Sum of roots = (-b)/a

❏ Product of roots = c/a

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$\underline{\boxed{\bold{Given}}}$

↠ Equation : x²- 4x + 1 = 0

↠ First root : (2√3)

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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Let's find other root using property of product of roots !

$\boxed{\bold{\red{:\leadsto \; Product \; of \; roots = \alpha \beta = \frac{c}{a} } } }$

$:\implies 2\sqrt{3}\; \times \;\beta = \frac{1}{1}$

$:\implies 2\sqrt{3}\; \times \;\beta = 1$

$\boxed {\bold{ \blue {:\implies \;\beta = \frac{1}{2\sqrt{3} } }}}$

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$\boxed{\boxed{\bold{\therefore Other\; root = \beta = \frac{1}{2\sqrt{3} }}}}$

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Hope this helps u.../

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