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Determinați x din proporția: x4 barat/4=9x barat/x. Please! Am nevoie urgent!

Răspuns :

x4 barat/4=9x barat/x

(10x +4)/4 = (9×10+x)/x

x(10x+4) = 4(90 + x)

10x² + 4x = 360 + 4x

10x² + 4x - 4x =360

10x² = 360 / : 10

x² = 36

x = √36

x = 6

64/4 = 96/6

16 = 16

[tex] \it \dfrac{\overline{x4}}{4} =\dfrac{\overline{9x}}{x} \Leftrightarrow \dfrac{10x+4}{4} =\dfrac{90+x}{x} \Leftrightarrow 10x^2+4x=360+4x \Leftrightarrow
\\ \\ \\
\Leftrightarrow 10x^2=360 \Leftrightarrow x^2=36 \Leftrightarrow x=6 [/tex]