sqrt(2)*sqrt(x^2-26*x+169)*sqrt(2)*1/2*1/2+sqrt(2)*(-13/2+x*1/2)*(3*sqrt(2)+x*sqrt(2))*1/(2*sqrt(x^2-26*x+169)) если x=-1 (упростите выражение)

$$frac{frac{1}{2}}{2} sqrt{2} sqrt{2} sqrt{x^{2} – 26 x + 169} + frac{sqrt{2} left(frac{x}{2} – frac{13}{2}right) left(sqrt{2} x + 3 sqrt{2}right)}{2 sqrt{x^{2} – 26 x + 169}}$$

$$frac{frac{1}{2}}{2} sqrt{2} sqrt{2} sqrt{x^{2} – 26 x + 169} + frac{sqrt{2} left(frac{x}{2} – frac{13}{2}right) left(sqrt{2} x + 3 sqrt{2}right)}{2 sqrt{x^{2} – 26 x + 169}}$$

(((sqrt(2)*sqrt((-1)^2 – 26*(-1) + 169))*sqrt(2))/2)/2 + ((sqrt(2)*(-13/2 + (-1)/2))*(3*sqrt(2) + (-1)*sqrt(2)))/(2*sqrt((-1)^2 – 26*(-1) + 169))

$$frac{frac{1}{2}}{2} sqrt{2} sqrt{2} sqrt{(-1)^{2} – 26 (-1) + 169} + frac{sqrt{2} left(frac{(-1)}{2} – frac{13}{2}right) left(sqrt{2} (-1) + 3 sqrt{2}right)}{2 sqrt{(-1)^{2} – 26 (-1) + 169}}$$

(((sqrt(2)*sqrt((-1)^2 – 26*(-1) + 169))*sqrt(2))/2)/2 + ((sqrt(2)*(-13/2 – 1/2))*(3*sqrt(2) – sqrt(2)))/(2*sqrt((-1)^2 – 26*(-1) + 169))

$$frac{sqrt{2} left(- frac{13}{2} – frac{1}{2}right) left(- sqrt{2} + 3 sqrt{2}right)}{2 sqrt{left(-1right)^{2} – -26 + 169}} + frac{frac{1}{2}}{2} sqrt{2} sqrt{2} sqrt{left(-1right)^{2} – -26 + 169}$$

6

$$6$$

$$frac{sqrt{2} left(frac{x}{2} – frac{13}{2}right) left(sqrt{2} x + 3 sqrt{2}right)}{2 sqrt{x^{2} – 26 x + 169}} + frac{1}{2} sqrt{x^{2} – 26 x + 169}$$

____________________ ___ / 13 x / ___ ___
/ 2 / 2 *|- — + -|*3*/ 2 + x*/ 2 /
/ 676 – 104*x + 4*x 2 2/
———————– + ————————————
4 _________________
/ 2
2*/ 169 + x – 26*x

$$frac{sqrt{2} left(frac{x}{2} – frac{13}{2}right) left(sqrt{2} x + 3 sqrt{2}right)}{2 sqrt{x^{2} – 26 x + 169}} + frac{1}{4} sqrt{4 x^{2} – 104 x + 676}$$

0.5*(169.0 + x^2 – 26.0*x)^0.5 + 0.707106781186548*(169.0 + x^2 – 26.0*x)^(-0.5)*(4.24264068711929 + 1.4142135623731*x)*(-6.5 + 0.5*x)

$$frac{1}{32 x^{2} – 832 x + 5408} left(32 x^{2} sqrt{x^{2} – 26 x + 169} – 576 x sqrt{x^{2} – 26 x + 169} + 2080 sqrt{x^{2} – 26 x + 169}right)$$

$$frac{x left(x – 26right) + left(x – 13right) left(x + 3right) + 169}{2 sqrt{x left(x – 26right) + 169}}$$

2
65 + x – 18*x
——————–
_________________
/ 2
/ 169 + x – 26*x

$$frac{x^{2} – 18 x + 65}{sqrt{x^{2} – 26 x + 169}}$$

2
65 + x – 18*x
——————–
_________________
/ 2
/ 169 + x – 26*x

$$frac{x^{2} – 18 x + 65}{sqrt{x^{2} – 26 x + 169}}$$

(-13 + x)*(-5 + x)
——————
____________
/ 2
/ (-13 + x)

$$frac{left(x – 13right) left(x – 5right)}{sqrt{left(x – 13right)^{2}}}$$