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