Verified answer

Объяснение:

[tex]g^2+5x+64x^2=(8x)^2+2*8x*\frac{5}{16}+(\frac{5}{16})^2 =64x^2+5x+\frac{25}{256}.[/tex]

Ответ: g²=25/256.

Ответ:   [tex]g^2=\dfrac{25}{256}[/tex]  .

Пользуемся формулой    [tex](a+b)^2=a^2+2ab+b^2[/tex]  .

[tex]\underbrace{g^2+5x+64x^2}_{a^2+2ab+b^2}=g^2+2\cdot 8x\cdot g+(8x)^2=\\\\\\\star \ \ 2\cdot 8x\cdot g=5x\ \ \to \ \ \ g=\dfrac{5x}{2\cdot 8x}=\dfrac{5}{16}\ \ \star \\\\\\=\Big(\dfrac{5}{16}\Big)^2+5x+64x^2=\dfrac{25}{256}+5x+64x^2\\\\\\g^2=\dfrac{25}{256}[/tex]