Question

o valor de x para quê
$\sqrt{x + \sqrt{12 + \sqrt{5 + \sqrt{121} } } }$
seja igual a 5 é:
a) 21
b) 22
c) 23
d)24
e)25
​

Answer 1

$\sqrt{\text x+\sqrt{12+\sqrt{5+\sqrt{121}}}} = 5 \\\\ \sqrt{\text x+\sqrt{12+\sqrt{5+11}}} = 5 \\\\ \sqrt{\text x+\sqrt{12+\sqrt{16}}} = 5 \\\\ \sqrt{\text x+\sqrt{12+4}} = 5 \\\\ \sqrt{\text x+\sqrt{16}} = 5 \\\\ \sqrt{\text x+4} = 5 \\\\ \text x+4= 5^2 \\\\ \text x=25-4 \\\\ \huge\boxed{\ \text x = 21\ }\checkmark$

letra a