Math, asked by kadsukumar, 8 months ago

10000 points please answer this question ​

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Answered by BRAINLYADDICTOR
87

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1)

i)9x^2-3x-2

➡️9x^2-6x+3x-2

➡️3x(3x-2)+1(3x-2)

➡️(3x-2)(3x+1)

➡️X=2/3 (or) x=-1/3

ii)

➡️3x^2+10x+2

➡️-b+-sqrtb^2-4ac/2a

➡️-10+-sqrt100-4(6)/6

➡️-10+-sqrt100-24/6

➡️-10-+sqrt76/6

➡️-10-+sqrt76/6

2)

i)x^3-6x^2+11x-6 by (x-1)

➡️X^2(x-1)+x^2-6x^2+11x+6

➡X^2(x-1)-5x^2+11x+6

️➡️X^2(x-1)-5x(x-1)-5x+11x-6

➡️X^2(x-1)-5x(x-1)+6(x-1)+6-6

➡️X^2(x-1)-5x(x-1)+6(x-1)

➡️(x-1)(x^2-5x+6)

➡️(x-1)(x^2-2x-3x+6)

➡️(x-1)(x(x-2)-3(x-2))

➡(x-1)(x-2)(x-3)

️Like this do oll the solutions

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Answered by Anonymous
85

Heya Buddy...♡

\huge\red{\tt{\underline{Answer:-}}} &lt;font color=blue&gt; ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

1) i)9x^2-3x-2

➡️9x^2-6x+3x-2

➡️3x(3x-2)+1(3x-2)

➡️(3x-2)(3x+1)

➡️X=2/3 (or) x=-1/3

⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

ii)➡️3x^2+10x+2

➡️-b+-sqrtb^2-4ac/2a

➡️-10+-sqrt100-4(6)/6

➡️-10+-sqrt100-24/6

➡️-10-+sqrt76/6

➡️-10-+sqrt76/6

⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

2)i)x^3-6x^2+11x-6 by (x-1)

➡️X^2(x-1)+x^2-6x^2+11x+6

➡X^2(x-1)-5x^2+11x+6

️➡️X^2(x-1)-5x(x-1)-5x+11x-6

➡️X^2(x-1)-5x(x-1)+6(x-1)+6-6

➡️X^2(x-1)-5x(x-1)+6(x-1)

➡️(x-1)(x^2-5x+6)

➡️(x-1)(x^2-2x-3x+6)

➡️(x-1)(x(x-2)-3(x-2))

➡(x-1)(x-2)(x-3)

Thanks..^_^

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