Question

5 la puterea 4: 5 la puterea 2+5x(55 la puterea 1+x:5)=5 la puterea 2

Answer 1

5² + 5x(55+x:5) = 5²

5x(55+x:5) = 0

55+x:5 = 0

x:5 = -55

x = -55x5

x = -275

Answer 2

Răspuns: $\bf\red{\underline{x = -275}}$

Explicație pas cu pas:

$\bf 5^{4} :5^{2} +5\cdot(55^1+x:5)=5^2$

$\bf 5^{4-2} +5\cdot(55+x:5)=25$

$\bf 5^{2} +5\cdot(55+x:5)=25$

$\bf 25 +5\cdot(55+x:5)=25$

$\bf 5\cdot(55+x:5)=25-25$

$\bf 5\cdot(55+x:5)=0~~\bigg|:5$

$\bf 55+x:5=0$

$\bf x:5=-55~~~\bigg|\cdot5$

$\bf\red{\underline{x = -275}}$