Question

X^2 +12x +36=0
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Answer 1

x = -6

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 2

`-6`

Step-by-step explanation;

`x^(2) +12x+36=0`

Comparing with ax² +bx² + c=0

where a =1 , b=12, and c= 36

`x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)`

substituting the values of a, b, and c to find the value of x

`x=(-12\pm √(12^2-4\cdot \:1\cdot \:36))/(2\cdot \:1)`

`x=(-12+,-√(144-144) )/(2)`

`x=(-12+,-0)/(2) =-6`

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