What are the solutions to the equation solvefor x,x^3=7x ?

The solutions to the equation solvefor x,x^3=7x are x=0,x=-sqrt(7),x=sqrt(7)

Find the zeros of solvefor x,x^3=7x

The zeros of solvefor x,x^3=7x are x=0,x=-sqrt(7),x=sqrt(7)

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solve for

x, x^{3} = 7 x

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

Decimal Notation

x = 0, x = - 2.64575 \dots, x = 2.64575 \dots

Solution steps

x^{3} = 7 x

Move

7 x

to the left side

x^{3} - 7 x = 0

Factor

x^{3} - 7 x : x (x + 7) (x - 7)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 7 = 0 : x = - 7

Solve

x - 7 = 0 : x = 7

The solutions are

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

4 x^{3} + 6 x^{2} - 4 x = 0

x^{4} + 2 x^{2} - 35 = 0

6 x^{7} = 8 x - 13

z^{5} + z^{4} + z^{3} + z^{2} + z + 1 = 0

120 x^{3} + 12 x^{2} = 0

What are the solutions to the equation solvefor x,x^3=7x ?
The solutions to the equation solvefor x,x^3=7x are x=0,x=-sqrt(7),x=sqrt(7)
Find the zeros of solvefor x,x^3=7x
The zeros of solvefor x,x^3=7x are x=0,x=-sqrt(7),x=sqrt(7)