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Daca  4x + [tex] \frac{3}{8x} =6[/tex] , atunci 16x² + [tex] \frac{9}{ 64x^{2} } [/tex] este egal cu : ..... 

Răspuns :

[tex] \frac{3}{8x} =6 [/tex]⇒48x=3⇒x=[tex] \frac{1}{16} [/tex]

16x²+[tex] \frac{9}{64 x^{2} }=16* \frac{1}{16 ^{2} }+ [/tex][tex] \frac{9}{64* \frac{1}{16 ^{2} } }= \frac{1}{16}+ \frac{9}{16*4* \frac{1}{16 ^{2} } } [/tex]=
=[tex] \frac{1}{16}+ \frac{9}{ \frac{1}{4} }= \frac{1}{16}+36= \frac{1}{16}+ \frac{576}{16}= \frac{577}{16} [/tex]
4x+3/8x=6    ridicam la patrat
16x²+2(4x × 3/8x)+9/64x²=6²
16x²+3+9/64x²=36
16x²+9/64x²=36-3
16x²+9/64x²=33