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Which of the following are solutions to the equation below? Check all that apply . x ^ 2 + x - 20 = 0

Respuesta :

Answer:

[tex]x= -5 or x = 4[/tex]

Solution Set = {-5, 4}

Step-by-step explanation:

[tex]x^{2} + x -20 = 0[/tex]

[tex]x^{2} + 5x - 4x -20 = 0[/tex]

[tex](x^{2} + 5x) - (4x + 20) = 0[/tex]

[tex]x(x + 5) - 4(x + 5) = 0[/tex]

[tex](x + 5)(x - 4) = 0[/tex]

[tex]x+ 5= 0 or x - 4 = 0[/tex]

[tex]x= -5 or x = 4[/tex]

Solution Set = {-5, 4}