jujugettis23 jujugettis23
  • 24-01-2020
  • Mathematics
contestada

x2 + 5x – 4 = 3x - 1

Respuesta :

gmany
gmany gmany
  • 24-01-2020

Answer:

x = -3 or x = 1

Step-by-step explanation:

[tex]x^2+5x-4=3x-1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\x^2+5x-3x-4=3x-3x-1\\\\x^2+2x-4=-1\qquad\text{add 1 to both sides}\\\\x^2+2x-4+1=-1+1\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x+3)(x-1)=0\iff x+3=0\ \vee\ x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x+3-3=0-3\\\boxed{x=-3}\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}[/tex]

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