Simulación numérica ejercicios

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    QUINTA PRÁCTICA – MATLAB

    1. a 6

    1 − x2=

    5

    1 + x−

    3

    1 − x

    >> syms x>> xsol=solve(6==2-8*x,x) xsol = -1/2

    1. b ( x+2 )∗( x− 4 )7 ( x+3 )∗( x− 5 )−

    ( x+4 )∗( x− 7 )12 ( x+5 )∗( x− 8 )=

    5

    84

    >> syms x>> xsol=solve(((x+2)*(x-4))/(7*(x+3)*(x-5))-((x+4)*(x-7))/(12*(x+5)*(x-8))==5/84,x) xsol = -25

    2. ax2

    + 3 ∗ x+ 2.16 = 0

    >> syms x>> xsol=solve(x^2+3*x+2.16==0,x) xsol = -6/5

    -9/5

    2. b x+ √ x2 + x+ 1

    x− √ x2 + x+ 1+

    x− √ x2 + x+ 1 x+ √ x2 + x+ 1

    =− 11

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    >> syms x>> xsol=solve(4*x^2-9*x-9==0,x) xsol =

    3 -3/4

    3. a 7 √5 16 + 5 x5 x+ 5 2 = 5

    >> syms x>> xsol=solve(5^9==5^x,x) xsol = 9

    3. bx x− √ x+1 = √ x+2

    >> syms x>> xsol=solve(x^(x-(x+1)^0.5)==x^0.5+2,x) xsol = 3.1946144656910019847772576592229

    4. a Ix − 5 I = I 3 x− 6 I

    >> syms x>> xsol=solve(a s(x-5)==a s(3*x-6),x) xsol = 0.5

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    4. b Ix− 3 I + I x2

    − 1 I = 8

    >> syms x>> xsol=solve(a s(x-3)+a s(x^2-1)==8,x)!a"#$#%& 'oss$ ly s "$o s sol $o#s. solvel$ && "y a e ys em!a"#$#%& 'oss$ ly s "$o s sol $o#s. solvel$ && "y a e ys em

    xsol = -2.0

    5. a 38 x+ 5 y= 550

    56 x+60 y= 1200

    >> syms x y>> x2,y2 =solve(38*x+5*y==550,56*x+60*y==1200) x2 = 27/2

    y2 = 37/5

    5. b x+ 1

    3+

    y− 12

    = 0

    x+ 2 y3

    − x+ y+ 24

    = 0

    >> syms x y>> x2,y2 =solve((x+1)/3+(y-1)/2==0,(x+2*y)/3-(x+y+2)/4==0) x2 = -13/7

    y2 =

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