nerd1234
nerd1234 nerd1234
  • 23-08-2019
  • Mathematics
contestada

Please help me with this!


show that {1,2} ⊆ {x|x^4 - x^3 - x^2 - 5x + 6 = 0}

Respuesta :

LammettHash
LammettHash LammettHash
  • 23-08-2019

The set [tex]\{x\mid x^4-x^3-x^2-6x+6=0\}[/tex] is the set of all values of [tex]x[/tex] that are solutions to the given equation. So all you need to do is check whether [tex]x=1[/tex] and [tex]x=2[/tex] satisfy the equation.

[tex]x=1\implies 1^4-1^3-1^2-5+6=0[/tex]

[tex]x=2\implies2^4-2^3-2^2-10+6=0[/tex]

The equation holds, so both 1 and 2 are solutions, and hence [tex]\{1,2\}[/tex] is a subset of the solutions.

Answer Link

Otras preguntas

Woodrow Wilson’s campaign slogan in 1916 was “He kept us out of __________.”
solve the problem by using mathematical sentence and solve then label your answer.A province produced 2,543,475 metric tons of sugarcane in 2003, and 4,905,369
If -nx2 + tx + c = 0, what is x equal to?
can you tell me what is a mandolin?
Add the fractions and simplify the answer: 1/2 + 2/3
State a true conclusion. 1) If you accept the hypothesis, then you accept the conclusion. 2) You accept the conclusion. Conclusion: ?
what is the abyssal plain?
can you tell me what is a mandolin?
1)simplify the expression (2x)^42)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is 16 meters and its length is 2 me
Add the fractions and simplify the answer: 1/2 + 2/3