jaylakenner25 jaylakenner25
  • 10-04-2018
  • Mathematics
contestada

Which quadratic equation is equivalent to (x+2)^2+5(x+2)-6=0

Respuesta :

MrGumby
MrGumby MrGumby
  • 12-04-2018
x^2 + 9x + 8 = 0

You can get this by multiplying and foiling, then simplifying. 
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AlonsoDehner AlonsoDehner
  • 30-06-2019

Answer:

[tex]x^2+11x+24 =0[/tex]

Step-by-step explanation:

[tex](x+2)^2+5(x+2)-6=0[/tex]

Substitute

[tex]x+2 =y[/tex]

[tex]y^2+5y-6=0\\(y+6)(y-1)=0\\y=-6,1[/tex]

Now replace y by x values

[tex]x+2=-6\\x=-8\\x+2=-1\\x=-3[/tex]

Roots are -3 and -8

The equivalent equation would be

[tex](x+3)(x+8) =0\\x^2+11x+24 =0[/tex]

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