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

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

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

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

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

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

Decimal Notation

x = 0, x = - 7, x = 7, x = - 3.31662 \dots, x = 3.31662 \dots

Solution steps

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

Factor

- x (x^{2} - 49) (x^{2} - 11) : - x (x + 7) (x - 7) (x + 11) (x - 11)

- x (x + 7) (x - 7) (x + 11) (x - 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 7 = 0 or x - 7 = 0 or x + 11 = 0 or x - 11 = 0

Solve

x + 7 = 0 : x = - 7

Solve

x - 7 = 0 : x = 7

Solve

x + 11 = 0 : x = - 11

Solve

x - 11 = 0 : x = 11

The solutions are

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

z^{3} = - 2 + 2 i

x^{4} + 9 x^{2} + 20 = 0

0 = x^{3} - 10 x^{2} + 31 x - 30

2 x^{3} + 25 = x^{2} + 50 x

x^{3} - 13 x^{2} + 36 x = 0

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