lol123456789cole lol123456789cole
  • 10-04-2022
  • Mathematics
contestada

Select the quadratic that has roots x = 8 and x = -5.
A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40

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loneguy
loneguy loneguy
  • 10-04-2022

[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]

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