ryleehill ryleehill
  • 19-10-2021
  • Mathematics
contestada

x^2+2n-35
the options are:
x + 2)(x - 35)

(x - 5)(x + 7)

(x + 5)(x - 7)

(x - 5)(x - 7)

Respuesta :

kamilmatematik100504
kamilmatematik100504 kamilmatematik100504
  • 19-10-2021

[tex]\large \boldsymbol {} 1-st \ method \\\\ x^2+2x-35=0 \\\\ x^2+\underbrace{7x-5x}_{2x}-35=0 \\\\( x^2+7x)+(-5x-35) =0 \\\\ x\underline {(x+7)}-5\underline{(x+7)}=0 \\\\ \boxed{(x-5)(x+7)=0 } \\\\ ---------\\\\ 2-nd \ method \\\\ x^2+2x-35=0 \\\\ \begin {cases} x_1+x_2=-2 \\ x_1x_2=-35\end{cases} \Longrightarrow x_1=5 \ ; \ x_2=-7 \\\\\\ x^2+5x-35=(x-x_1)(x-x_2)=\boxed{(x-5)(x+7 )}[/tex]

[tex]\rm \large \boldsymbol {} Answer : \ \boxed{2) \ (x-5)(x+7 )}[/tex]

Answer Link

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