Dashaphillip Dashaphillip
  • 27-01-2021
  • Mathematics
contestada

Given that α and β are the roots of the equation x² + 3x + 4 = 0, what is the value of
( α + β)²

Respuesta :

ruhaan22
ruhaan22 ruhaan22
  • 28-01-2021

Answer:

9

Step-by-step explanation:

sum of roots = α + β

= -b/a

= -3/1 …………………. [b = 3, a = 1]

= -3

  • (α + β)² = ( -3 )² = -3 × -3 = 9

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