(sqrt(5)-1/x)^2+1/(sqrt(5)-1/x) если x=4 (упростите выражение)

$$left(sqrt{5} – frac{1}{x}right)^{2} + frac{1}{sqrt{5} – frac{1}{x}}$$

$$left(sqrt{5} – frac{1}{x}right)^{2} + frac{1}{sqrt{5} – frac{1}{x}}$$

(sqrt(5) – 1/(4))^2 + 1/(sqrt(5) – 1/(4))

$$left(sqrt{5} – frac{1}{(4)}right)^{2} + frac{1}{sqrt{5} – frac{1}{(4)}}$$

(sqrt(5) – 1/4)^2 + 1/(sqrt(5) – 1/4)

$$frac{1}{- frac{1}{4} + sqrt{5}} + left(- frac{1}{4} + sqrt{5}right)^{2}$$

1/(-1/4 + sqrt(5)) + (-1/4 + sqrt(5))^2

$$frac{1}{- frac{1}{4} + sqrt{5}} + left(- frac{1}{4} + sqrt{5}right)^{2}$$

1/(2.23606797749979 – 1/x) + (2.23606797749979 – 1/x)^2

$$frac{1}{x^{2} left(5 x^{2} – 1right)} left(sqrt{5} x^{4} + x^{3} + sqrt{5} x left(sqrt{5} x – 1right)^{3} + left(sqrt{5} x – 1right)^{3}right)$$

$$frac{x^{3} + left(sqrt{5} x – 1right)^{3}}{x^{2} left(sqrt{5} x – 1right)}$$

3
3 / ___
x + -1 + x*/ 5 /
——————–
2 / ___
x * -1 + x*/ 5 /

$$frac{x^{3} + left(sqrt{5} x – 1right)^{3}}{x^{2} left(sqrt{5} x – 1right)}$$

3 2 ___
-1 + x – 10*x + 3*x*/ 5
5 + —————————
2 ___ 3
– x + / 5 *x

$$5 + frac{1}{sqrt{5} x^{3} – x^{2}} left(x^{3} – 10 x^{2} + 3 sqrt{5} x – 1right)$$

3 2 ___ ___ 3
-1 + x – 15*x + 3*x*/ 5 + 5*/ 5 *x
—————————————-
2 / ___
x * -1 + x*/ 5 /

$$frac{1}{x^{2} left(sqrt{5} x – 1right)} left(x^{3} + 5 sqrt{5} x^{3} – 15 x^{2} + 3 sqrt{5} x – 1right)$$