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nikklg [1K]
2 years ago
5

Factor 36+12x+x^2 as the product of two binomials

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
8 0

Answer:

(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

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\bold{\boxed{\huge{\blue{\underline{Answer }}}}}

\bold{\underline{ Given :- }}

\sf{The\: population\: is\: decreased \:by\: 10 percent  }

\sf{There\: were \: only \: 1800 \: people \: left}

\bold{\underline{ To\: Find :- }}

\sf{we \: have \: to \: find\: original \: population? }

\bold{\underline{ Let's \: Begin :- }}

\sf{Let \: the \: total \:  population\: be \: x }

\sf{\underline{ Therefore }}

\sf{According \: to \: the \: question }

\sf{ x - 10/100 = 1800 }

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\sf{ 100x - 10 = 1800 × 100}

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\sf{ 100x = 180000 + 10}

\sf{ x = 180010/100}

\sf{ x = 1800.1 }

\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}

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