What are the solutions to the equation 2x^3=10x ?

The solutions to the equation 2x^3=10x are x=0,x=-sqrt(5),x=sqrt(5)

Find the zeros of 2x^3=10x

The zeros of 2x^3=10x are x=0,x=-sqrt(5),x=sqrt(5)

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2 x^{3} = 10 x

x = 0, x = - 5, x = 5

Decimal Notation

x = 0, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

2 x^{3} = 10 x

Move

10 x

to the left side

2 x^{3} - 10 x = 0

Factor

2 x^{3} - 10 x : 2 x (x + 5) (x - 5)

2 x (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 5 = 0 or x - 5 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = - 5, x = 5

2 x^{3} = 128

3 (4 g^{6}) = 2 (6 g^{9})

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

2 x^{4} - 7 x^{2} = 4

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

What are the solutions to the equation 2x^3=10x ?
The solutions to the equation 2x^3=10x are x=0,x=-sqrt(5),x=sqrt(5)
Find the zeros of 2x^3=10x
The zeros of 2x^3=10x are x=0,x=-sqrt(5),x=sqrt(5)