shamirmoore979 shamirmoore979
  • 08-05-2022
  • Mathematics
contestada

What is the solution set of the following system of
equations?

What is the solution set of the following system of equations class=

Respuesta :

alfredlim29448 alfredlim29448
  • 08-05-2022

Answer:

x=-5, x=0

Step-by-step explanation:

Substitute Y of first equation into second equation so:
3x+6 = [tex](x+4)^2-10[/tex]

Add 10 to both sides and expand brackets:

3x + 16 = [tex]x^2+8x+16[/tex]

Collect all terms onto one side:

[tex]x^2+5x=0[/tex]

Factorise:
[tex]x(x+5)=0[/tex]

The solutions therefore are:

x = -5

and

x = 0

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