Question

find the quadratic polynomial given whose zeroes are -6 and -2/3​

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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When side of the square is reduced by 6cm then the area becomes 900 cm²

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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Side of original square = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Let the original side be x

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When reduced by 6 it becomes x - 6

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$\sf{\underline{\underline{\large{\bold{Area\: of\: square = ( side)^2}}}}}$

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New area = ( x - 6 ) ²

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Acc. to the question :-

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( x - 6 ) ² = 900

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( x - 6 ) ² = ( 30 ) ²

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Same powers implies same bases

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x - 6 = 30

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x = 30 + 6

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x = 36

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

⠀⠀⠀⠀

Side of the original square is 36

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Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

⠀⠀⠀⠀

When side of the square is reduced by 6cm then the area becomes 900 cm²

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

⠀⠀⠀⠀

Side of original square = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

⠀⠀⠀⠀

Let the original side be x

⠀⠀⠀⠀

When reduced by 6 it becomes x - 6

⠀⠀⠀⠀

$\sf{\underline{\underline{\large{\bold{Area\: of\: square = ( side)^2}}}}}$

⠀⠀⠀⠀

New area = ( x - 6 ) ²

⠀⠀⠀⠀

Acc. to the question :-

⠀⠀⠀⠀

( x - 6 ) ² = 900

⠀⠀⠀⠀

( x - 6 ) ² = ( 30 ) ²

⠀⠀⠀⠀

Same powers implies same bases

⠀⠀⠀⠀

x - 6 = 30

⠀⠀⠀⠀

x = 30 + 6

⠀⠀⠀⠀

x = 36

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

⠀⠀⠀⠀

Side of the original square is 36

⠀⠀⠀⠀

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