Respuesta :
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{x^2 + 8x = 9}[/tex]
[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]
[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]
[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]
[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]
[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]
[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]
[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]
[tex]\large\textsf{But, your overall answer should be:}[/tex]
[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]
[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
- x²+8x+9
We know
- (a+b)²=a²+2ab+b²
To get 2ab satisfied
- 2ab=8x
- 2x(b)=8x
- b=4
- b²=16
16 must be added on both sides to get (x+4)²