Răspuns :
Răspuns:
Explicație pas cu pas:
√1024 = 32
√1225 = 35
√2025 = 45
√(32 + 32) = √64 = 8
√(135 - 35) = √100 = 10
√(270 - 45) = √225 = 15
___________
8/10 = 2x/15
8*15 = 10*2x
120 = 20x
x = 120 : 20 = 6
[tex]\it \sqrt{1024}=32;\ \ \sqrt{1225}=35;\ \ \sqrt{2025}=45\\ \\ Ecua\c{\it t}ia\ devine:\\ \\ \\ \dfrac{\sqrt{32+32}}{\sqrt{135-35}}=\dfrac{2x}{\sqrt{270-45}} \Rightarrow \dfrac{\sqrt{64}}{\sqrt{100}}=\dfrac{2x}{\sqrt{225}} \Rightarrow \dfrac{8}{10}=\dfrac{2x}{15} \Rightarrow\\ \\ \\ \Rightarrow 20x=120|_{:20} \Rightarrow x=6[/tex]