Question

MEDIA ARITMETICA A DOUA NUMERE REALE X SI Y ESTE EGALA CU 18 RADICAL DIN2. DETERMINATI Y DACA x=9 radical din 2​

Answer 1

formula mediei aritmetice

$\frac{x + y}{2} \\ = > \frac{9 \sqrt{2} + y}{2} = 18 \sqrt{2}$

inmultim pe diagonala

$9 \sqrt{2} + y = 2 \times 18 \sqrt{2} < = > 9 \sqrt{2} + y = 36 \sqrt{2} = > y = 36 \sqrt{2} - 9 \sqrt{2} = > y = 27 \sqrt{2}$

facem si proba(sau verificarea)

$\frac{9 \sqrt{2} + 27 \sqrt{2} }{2} = 18 \sqrt{2} = > \frac{36 \sqrt{2} }{2} = 18 \sqrt{2} = > 18 \sqrt{2} = 18 \sqrt{2} \: adevarat$