Question

Calculați
X^2+1 supra x^2 știind ca x+1 supra x=3, unde x € R*
^-la puterea a..

Answer 1

(x^2 + 1 ) / x^2 = ?

(x+1)/x = 3 => x+1 = 3x => 2x = 1 => x=1/2

Deci (x^2 + 1) / x^2 = (1/4 + 1)/1/4 = 5/4 / 1/4 = 5/4 * 4/1 = 5