What are the solutions to the equation x(x^2-11)(x^2+49)=0 ?

The solutions to the equation x(x^2-11)(x^2+49)=0 are x=0,x=7i,x=-7i,x=-sqrt(11),x=sqrt(11)

Find the zeros of x(x^2-11)(x^2+49)=0

The zeros of x(x^2-11)(x^2+49)=0 are x=0,x=7i,x=-7i,x=-sqrt(11),x=sqrt(11)

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x (x^{2} - 11) (x^{2} + 49) = 0

x = 0, x = 7 i, x = - 7 i, x = - 11, x = 11

Solution steps

x (x^{2} - 11) (x^{2} + 49) = 0

Factor

x (x^{2} - 11) (x^{2} + 49) : x (x^{2} + 49) (x + 11) (x - 11)

x (x^{2} + 49) (x + 11) (x - 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 49 = 0 or x + 11 = 0 or x - 11 = 0

Solve

x^{2} + 49 = 0 : x = 7 i, x = - 7 i

Solve

x + 11 = 0 : x = - 11

Solve

x - 11 = 0 : x = 11

The solutions are

x = 0, x = 7 i, x = - 7 i, x = - 11, x = 11

x^{4} + x^{3} + 3 x^{2} - 2 x + 4 = 0

x^{2} (3 x^{2} + 2) = 4 (x^{2} - 3) + 13

(x + 1)^{2} (x - 3)^{5} (x - 6)^{4} = 0

2 x - \frac{x ^{3}}{2} = 0

4 (0)^{2} + (3 m - 10) 0 + 2 m^{3} - 250 = 0

What are the solutions to the equation x(x^2-11)(x^2+49)=0 ?
The solutions to the equation x(x^2-11)(x^2+49)=0 are x=0,x=7i,x=-7i,x=-sqrt(11),x=sqrt(11)
Find the zeros of x(x^2-11)(x^2+49)=0
The zeros of x(x^2-11)(x^2+49)=0 are x=0,x=7i,x=-7i,x=-sqrt(11),x=sqrt(11)