Question

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

Answer 1

We hve the equation

`x^2+4x-9=x+1`

We are to find the value of x

Solving the equation we have

`\begin{gathered} x^2+4x-9=x+1 \\ x^2+4x-x-9-1=0 \\ x^2+3x-10=0 \end{gathered}`

Factorising the equation further

`\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}`

Therefore the solution to the equation is -5 and 2