Question

a= 6-√35 si b 6+√35 media aritmetică si media geometrica

coroana

Answer 1

ma = a+b  / 2
ma = 6-rad 35 + 6 + rad 35  / 2
ma = 12/2
ma = 6

mg = radical din a*b
mg = radical din (6-rad 35)(6+rad35)
mg = radical din 6^2 - (rad 35)^2
mg = radical din 36-36
mg = radical din 1
mg = 1

Answer 2

[tex]\it m_a = \dfrac{a+b}{2} = \dfrac{6-\sqrt{35}+6+\sqrt{35}}{2} =\dfrac{12}{2} =6 \\\;\\ \\\;\\ m_g = \sqrt{a\cdot b} =\sqrt{(6-\sqrt{35})(6+\sqrt{35})}=\sqrt{36-35} =\sqrt1=1[/tex]

La final, folosim (evident !) formula :

(x - y)(x + y) = x² - y²

(√35)² = 35