Respuesta :
Answer:
x = -6
Step-by-step explanation:
x^2 +12x +36=0
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 = 12
(x+6) (x+6) = 0
Using the zero product property
x+6 = 0 x+6 =0
x=-6 x=-6
Since they are the same we only list the solution once
Answer:
[tex]-6[/tex]
Step-by-step explanation;
[tex]x^{2} +12x+36=0[/tex]
Comparing with ax² +bx² + c=0
where a =1 , b=12, and c= 36
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
substituting the values of a, b, and c to find the value of x
[tex]x=\frac{-12\pm \sqrt{12^2-4\cdot \:1\cdot \:36}}{2\cdot \:1}[/tex]
[tex]x=\frac{-12+,-\sqrt{144-144} }{2}[/tex]
[tex]x=\frac{-12+,-0}{2} =-6[/tex]
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