Question

5+3.√x-1=x (equação irracional)​

Answer 1

Resposta:

5+3√x-1= x

(3√x-1)^2= (x-5)^2

9x-9= x^2-10x+25

x^2-10x+25-9x+9=0

x^2-19x+34=0

∆= 361-136

∆= 225

x'= 19+15/2

x'= 34/2= 17

x"=19-15/2

x"= 4/2=2

verificação

5+3√x-1 = x

5+ 3√17-1=17

5+3√16=17

5+3*4= 17

5+12=17

17= 17(V)

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5+3√x-1= x

5+3√2-1= 2

5+3√1= 2

5+3*1= 2

5+3=2

8≠2 (F)

S={17}