Respuesta :

Answer for question 19:

[tex]\boxed{Answer:~x=-1 ~or~ x=-2}[/tex]

→ Step -1: Factor left side of equation:

[tex](x+1)(x+2)=0[/tex]

→ Step 2: Set factors equal to 0:

[tex]x+1=0 ~or ~x+2=0[/tex]

[tex]x=-1 ~or ~x=-2[/tex]

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Answer for question 20:

[tex]\boxed{Answer:~x=4 ~or ~x=-4}[/tex]

→ Step -1: Add 13 to both sides:

[tex]x^2-13+13=3+13[/tex]

[tex]x^2=16[/tex]

→ Step 2: Take square root:

[tex]x=[/tex] + [tex]\sqrt{16}[/tex]

[tex]x=4 ~or ~x=-4[/tex]

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Answer for question 21:

[tex]\boxed{Answer:~x=2 ~or~ x=-14}[/tex]

→ Step 1: Factor left side of equation:

[tex](x-2)(x+14)=0[/tex]

→ Step 2: Set factors equal to 0:

[tex]x-2=0 ~or~ x+14=0[/tex]

[tex]x=2 ~or~ x=-14[/tex]

Answers for the following question:

Question 19:  x = -1 or x = -2

Question 20: x = 4 or x = -4

Question 21: x = 2 or x = -14

Step-by-step explanation:

For question 19:

= (x+1)(x+2)=0

= x+1=0 or x+2 =0

x = -1 or x = -2

For question 20:

x² - 13 + 13 = 3 + 13

x² = 16

x =  [tex]\sqrt{16}[/tex]

x = 4 or x = -4

For question 21:

(x-2) (x+14) = 0

x - 2 = 0 or x +14 = 0

x = 2 or x = -14