Question

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

Answer 1

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

Answer 2

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