evxlynnr15
evxlynnr15 evxlynnr15
  • 14-12-2021
  • Mathematics
contestada

Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?

Given the equations x2 8x 12 0 and 3x 6 0 what is the common solution class=

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Аноним Аноним
  • 14-12-2021

[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]

[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]

Here, the common solution is -2.

Answer:

x = -2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

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