Math, asked by CHAKRIKADARI7557, 1 year ago

Find the zeores of polynomial √3ysquare+ 11y + 6 √ 3

Answers

Answered by mihirsthacker
27

√3y² + 11y + 6√3

= √3y²+9y+2y+6√3

= √3y(y+3√3)+2(y+3√3)

= (√3y+2)(y+3√3)

∴ y = -2/√3 or y = -3√3

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Answered by aditijaink283
1

Given:

Consider the given polynomial

\sqrt{3}y^2+11y+6\sqrt{3}

Find:

Zeroes of the polynomial

Solution:

\sqrt{3}y^2+11y+6\sqrt{3}\\\\=\sqrt{3}y^2+9y+2y+6\sqrt{3}\\\\=\sqrt{3}y(y+3\sqrt{3})+2(y+3\sqrt{3})\\\\=(y+3\sqrt{3})(\sqrt{3}y+2)

Now if

\sqrt{3}y+2=0\\\\y=-\frac{2}{\sqrt{3}}

and if

(y+3\sqrt{3})=0\\\\y=-3\sqrt{3}

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