What are the solutions to the equation x^3=49x ?

The solutions to the equation x^3=49x are x=0,x=-7,x=7

Find the zeros of x^3=49x

The zeros of x^3=49x are x=0,x=-7,x=7

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x^{3} = 49 x

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

Solution steps

x^{3} = 49 x

Move

49 x

to the left side

x^{3} - 49 x = 0

Factor

x^{3} - 49 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

x^{4} + 29 x^{2} + 100 = 0

2 x^{3} + x^{2} - 13 x + 6 = 0

y^{4} = 2 - y^{2}

5 x^{4} - 10 x^{3} + 5 x^{2} = 0

(x - 5)^{3} = 216

What are the solutions to the equation x^3=49x ?
The solutions to the equation x^3=49x are x=0,x=-7,x=7
Find the zeros of x^3=49x
The zeros of x^3=49x are x=0,x=-7,x=7