Question

daca fractiile 5 pe 6 si 30 pe x la puterea 2 sunt echivalente atunci x=

Answer 1

5 supra 6=30 supra x^2
6x30=5*x^2
180=5*x^2
180:5=x^2
36=x^2
x=6

Answer 2

[tex]\dfrac{5}{6}=\dfrac{30}{x^2} \Rightarrow \dfrac{5}{6}=\dfrac{5\cdot6}{x^2}|_{:5} \Rightarrow \dfrac{1}{6}=\dfrac{6}{x^2} \Rightarrow x^2 = 36 \Rightarrow x\cdot x = 36 \\\;\\ \it Ecuatia \ are \ doua\ solutii\ :\ x_1 = - 6,\ \ x_2 = 6 \\\;\\ . [/tex]