mercedessmith20
mercedessmith20
24-04-2018
Mathematics
contestada
if 2x=4/x+1 what is x
Respuesta :
Аноним
Аноним
24-04-2018
[tex]2x = \dfrac{4}{x+1} [/tex]
Cross- Multiply:
[tex]2x (x + 1) = 4[/tex]
Distribute 2x:
[tex]2x^2 + 2x = 4[/tex]
Subtract 4 from both sides:
[tex]2x^2 + 2x - 4 = 0[/tex]
Divide both sides by 2:
[tex]x^2 + x - 2 = 0[/tex]
Factorise:
[tex]( x + 2)(x - 1) = 0[/tex]
Apply zero product property:
[tex]x = 2 \ or \ x = 1[/tex]
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