escans escans
  • 01-10-2019
  • Mathematics
contestada

Solve by factoring (x+5)^2=36

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bonnie839 bonnie839
  • 01-10-2019

Answer: the answer is x=1,-11

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Аноним Аноним
  • 01-10-2019

Assuming that this is what you mean by factoring, you can proceed as follows: subtracting 36 from both sides gives

[tex](x+5)^2-36=0[/tex]

This is a difference of squares, since 36 is 6 squared. We can factor it using the formula [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex](x+5)^2-36=0 \iff (x+5+6)(x+5-6)=0 \iff (x+11)(x-1)=0[/tex]

A product is zero if and only if one of the factors is zero:

[tex]x+11=0 \iff x=-11,\quad x-1=0 \iff x=1[/tex]

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