Question

Na equação irracional, determine o valor de x.

Answer 1

$\sqrt{\sqrt{2x - 1} -1}$ = 10

$\sqrt{2x-1}$ - 1 = 10²

$\sqrt{2x-1}$ - 1 = 100

$\sqrt{2x-1}$ = 100 + 1

$\sqrt{2x-1}$ = 101

($\sqrt{2x-1}$)²= 101²

2x - 1 = 10 201

2x = 10 201 + 1

2x = 10 202

x = 10 202/2

x = 5101