Respuesta :

Ayham67776

Answer:

the answer is

x=-2, x=3

hope this will help you ❤️

DᴀʀᴋPᴀʀᴀᴅᴏx

let's solve the quadratic equation :

  • [tex] {x}^{2} - x - 6 = 0[/tex]

  • [tex]x {}^{2} - 3x + 2x - 6 = 0[/tex]

  • [tex]x(x - 3) + 2(x - 3) = 0[/tex]

  • [tex](x + 2)(x - 3) = 0[/tex]

there are two cases now,

Case - 1 - when (x + 2) = 0

  • x = -2

Case - 2 - when (x - 3) = 0

  • x = 3

so, the missing numbers to be filled in the boxes are :

  • x = -2 and x = 3

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