escans escans
  • 01-10-2019
  • Mathematics
contestada

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

Respuesta :

bonnie839 bonnie839
  • 01-10-2019

Answer: the answer is x=1,-11

Answer Link
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]

Answer Link

Otras preguntas

Where is the moon's gravitational pull the strongest?
Move the decimal point in 250,000 to the left as many places as necessary to find a number that is greater than or equal to 1 and less to 10.
what is the product of -3x^2y and (5xy^2+xy)?
Why was the NATO created?
write a set of parametric equations for y=x^2+1 given the parameter t=x-2
which are the numbers that are common multiples of 6 and 8.12 18 24 30 40 48
What are the possible values for x in the equation 4x²=641) x=02) x=43) x=4,-44) x=0,4,-4
why was it important to the romans to control mediterranean lands
What structure is common to all five kingdoms of living organisms?A. DNAB. NucleusC. Cell WallD. MitochondriaI know it is not C-Cell Wall.
in the westing game, what conclusion did the judge reach concerning mr. and mrs. Theadorakis?