Question
Question 20 (2 points) Which of the following equations has both 3 and 6 as roots sqrt (x-2)=4-x b sqrt (x-2)=x-4 C sqrt (x-2)=(3)/(x) d sqrt (x-2)=(x)/(3)
Solution
4.4
(209 Votos)
Renata Maria
Profissional · Tutor por 6 anos
Resposta
To determine which equation has both 3 and 6 as roots, we need to substitute these values into each equation and see if they satisfy the equation.Let's start with option a:
Substituting x = 3:
This is true.Substituting x = 6:
This is false.So, option a does not have both 3 and 6 as roots.Now let's move on to option b:
Substituting x = 3:
This is false.Substituting x = 6:
This is true.So, option b does not have both 3 and 6 as roots.Next, let's check option c:
Substituting x = 3:
This is true.Substituting x = 6:
This is false.So, option c does not have both 3 and 6 as roots.Finally, let's check option d:
Substituting x = 3:
This is true.Substituting x = 6:
This is true.So, option d has both 3 and 6 as roots.Therefore, the correct answer is option d.