Question

Rezolvati ecuatia:
5^x + 5^-x = 2

Answer 1

$5 {}^{x} + 5 {}^{ - x} = 2$

${5}^{x} + \frac{1}{5 {}^{x} } = 2$

$rezolvam \: in \: necunoscuta \: a$

$a + \frac{1}{a} = 2$

$a = 1$

$5 {}^{x} = 1$

$x = 0$