Question

#Capacitate #EvaluareNationala

(1+0.5)(1-0.5)+(1/ rad2)^2 = 5/4

Answer 1

(1+0,5)(1-0,5)+(1/√2)²=3/4+1/2=(3+2)/4=5/4  (aduci la acelasi numitor adica 4)
(1+0.5)(1-0,5)=1²-0,5²=1-0,25=0,75
(1/√2)²=1²/√2²=1/2
0,75=75/100=3/4 (simplifici cu numarul 25)
Sper ca te-am ajutat..

Answer 2

$(1+0,5)(1-0,5)+ \Big(\dfrac{1}{ \sqrt{2} }\Big)^2 = \Big(1+\dfrac{1}{2}\Big)\Big(1 -\dfrac{1}{2}\Big)+ \Big(\dfrac{1}{ \sqrt{2} }\Big)^2= \\ \\ =1^2- \Big(\dfrac{1}{2}\Big) ^2+ \Big(\dfrac{1}{ \sqrt{2} }\Big)^2 = 1- \dfrac{1}{4} + \dfrac{1}{2} = \dfrac{4}{4}- \dfrac{1}{4} + \dfrac{2}{4} = \dfrac{4-1+2}{4} = \dfrac{5}{4}$