Weird results using solve function to solve the system of 2 equations

Hi, I'm getting weird results solving the system of two equations, can anyone pease help me or suggest the other solver?

Here is the code:

    clc
    close all
    clear all
    T_i = 0;
    T_1 = 0;
    T_2 = 0;
    n_i = 0;
    n_1 = 0;
    n_2 = 0;
    eNBi_coordinates  = zeros(1, 2);
    eNB1_coordinates  = zeros(1, 2);
    eNB2_coordinates  = zeros(1, 2);
    eNBi_coordinates = [0 100];
    eNB1_coordinates = [0, 0];
    eNB2_coordinates = [100, 0];
    x_i = eNBi_coordinates(1);
    y_i = eNBi_coordinates(2);
    x_1 = eNB1_coordinates(1);
    y_1 = eNB1_coordinates(2);
    x_2 = eNB2_coordinates(1);
    y_2 = eNB2_coordinates(2);
    C = 3e8;
    RSTD_1 = 167e-9;
    RSTD_2 = 334e-9;

    syms x_t y_t

    [solx_t, soly_t] = solve(sqrt((x_t - x_i)^2+(y_t - y_i)^2)/C - sqrt((x_t - x_1)^2 + (y_t - y_1)^2)/C ...
        + (T_i - T_1) + (n_i - n_1) - RSTD_1 == 0,...
        sqrt((x_t - x_i)^2+(y_t - y_i)^2)/C...
        - sqrt((x_t - x_2)^2+(y_t - y_2)^2)/C + (T_i-T_2) + (n_i - n_2) - RSTD_2 == 0)

and the results i'm getting for [x_t, y_t] are:

solx_t =

(3966588620774505912890625*80204523989384538823263623044267146941326844497824520329275840654591478382575236575064977389815784125651517951641807^(1/2))/944770725576785769100984182366758081137891047164257164584802962242160716020711424 + 1631175376265062325404557393255693262302775/43556142965880123323311949751266331066368

soly_t =

1631175376265062325404557393255693262302775/43556142965880123323311949751266331066368 - (3966588620774505912890625*80204523989384538823263623044267146941326844497824520329275840654591478382575236575064977389815784125651517951641807^(1/2))/944770725576785769100984182366758081137891047164257164584802962242160716020711424

awaiting for your help.

Regards, Botir

Answer 1

[Star Strider]

That is normal for the Symbolic Math Toolbox. If you want a simplified result, use the vpa function:

vpa_x = vpa(solx_t,6)
vpa_y = vpa(soly_t,6)

producing:

vpa_x =

75.0502

vpa_y =

-0.150251

See the documentation on vpa for details.

Answer 2

[Batir Ismailov]

Thanks a lot, it really helps me.

[Star Strider]

My pleasure!