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                                                       Bisection Method

Matlab Code:

LEFT_LIMIT = input('GIVE LEFT LIMIT :');

RIGHT_LIMIT = input('GIVE RIGHT LIMIT :');

MIDDLE_VALUE=0.0;

DIFFERECE_LIMIT= 0.0;

DOA=0.001;

x=0.0;

ymiddle= 0.0;

yleft=0.0;

yright=0.0;

counter=0.0;

a = LEFT_LIMIT:.8:RIGHT_LIMIT;

b = a.^2-7*a+10;

plot(a,b,'-rs'),xlabel('x axis'),ylabel('computed function value'),legend('f(x)'),grid;

title('MATLAB SESSIONAL');

   

for counter=1:1:1200

x = LEFT_LIMIT;

yleft = x^2-7*x+10;

x = RIGHT_LIMIT;

yright = x^2-7*x+10;

if (yleft*yright)>0

   fprintf('INTERVAL IS NOT CORRECT');

   break;

end 

DIFFERECE_LIMIT = abs(RIGHT_LIMIT-LEFT_LIMIT );

if DIFFERECE_LIMIT<DOA

    fprintf('APPROXIMATE ANSWER : ');

    disp(RIGHT_LIMIT);

    break;

else  MIDDLE_VALUE = (RIGHT_LIMIT+LEFT_LIMIT)/2;

    x = MIDDLE_VALUE;

    ymiddle = x^2-7*x+10;

    if (ymiddle*yleft)>0

        LEFT_LIMIT = MIDDLE_VALUE;

    else

        RIGHT_LIMIT = MIDDLE_VALUE;

    end

end

  

end