ColtraneE755640 ColtraneE755640
  • 03-11-2022
  • Mathematics
contestada

Which of the following are solutions to the equation below? Check all that apply. x^2 + 4x-9 = x+1

Which of the following are solutions to the equation below Check all that apply x2 4x9 x1 class=

Respuesta :

AmielP96688 AmielP96688
  • 03-11-2022

We hve the equation

[tex]x^2+4x-9=x+1[/tex]

We are to find the value of x

Solving the equation we have

[tex]\begin{gathered} x^2+4x-9=x+1 \\ x^2+4x-x-9-1=0 \\ x^2+3x-10=0 \end{gathered}[/tex]

Factorising the equation further

[tex]\begin{gathered} x^2+3x-10=0 \\ x^2+5x-2x-10=0 \\ x(x+5)-2(x+5)=0 \\ (x+5)(x-2)=0 \\ x+5=0,x-2=0 \\ x=-5,x=2 \end{gathered}[/tex]

Therefore the solution to the equation is -5 and 2

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