tmoneydurbin tmoneydurbin
  • 13-09-2021
  • Mathematics
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what two numbers multiply to get 30 and add to get -11

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pranaav924 pranaav924
  • 13-09-2021

Answer:

-5 and -6

Step-by-step explanation:

xy=30, x+y=-11

[tex]x = - 11 - y[/tex]

[tex]( - 11 - y)y = 30[/tex]

[tex] - y ^{2} - 11y - 30 = 0[/tex]

[tex]y {}^{2} + 11y + 30 = 0[/tex]

[tex](y + 5)(y + 6) = 0 [/tex]

[tex]y = - 5 \: or \: - 6[/tex]

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