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Càlculo con Aplicaciones

Libro de Francisco Soler

Elaborado por: Juan Sebastiàn Torres Espìndola

                                [email protected]

Ejercicio 1.10

En los siguientes ejercicios resolver la ecuaciòn dada:

1.  x^2-4x+2=0

var ('x')
x
solve([x^2-4*x+2==0],x)
[x == -sqrt(2) + 2, x == sqrt(2) + 2]

2.  6x^2-5x-6=0

var ('x')
x
solve([6*x^2-5*x-6==0],x)
[x == (-2/3), x == (3/2)]

3.  x^2+5x+3=0

var ('x')
x
solve([x^2+5*x+3==0],x)
[x == -1/2*sqrt(13) - 5/2, x == 1/2*sqrt(13) - 5/2]

4.  x^2-8x+3=0

var ('x')
x
solve([x^2-8*x+3==0],x)
[x == -sqrt(13) + 4, x == sqrt(13) + 4]

5.  x^2-6x+3=0

var ('x')
x
solve([x^2-6*x+3==0],x)
[x == -sqrt(6) + 3, x == sqrt(6) + 3]

8.  x^2-2bx+b^2+m^2

var ('x,b,m')
(x, b, m)
solve([x^2-2*b*x+b^2+m^2],x)
[x == b - I*m, x == b + I*m]

10.  x^4-81=0

solve([x^4-81==0],x)
[x == (3*I), x == -3, x == (-3*I), x == 3]