What are the solutions to the equation 5w^3=50w ?

The solutions to the equation 5w^3=50w are w=0,w=-sqrt(10),w=sqrt(10)

Find the zeros of 5w^3=50w

The zeros of 5w^3=50w are w=0,w=-sqrt(10),w=sqrt(10)

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5 w^{3} = 50 w

w = 0, w = - 10, w = 10

Decimal Notation

w = 0, w = - 3.16227 \dots, w = 3.16227 \dots

Solution steps

5 w^{3} = 50 w

Move

50 w

to the left side

5 w^{3} - 50 w = 0

Factor

5 w^{3} - 50 w : 5 w (w + 10) (w - 10)

5 w (w + 10) (w - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

w = 0 or w + 10 = 0 or w - 10 = 0

Solve

w + 10 = 0 : w = - 10

Solve

w - 10 = 0 : w = 10

The solutions are

w = 0, w = - 10, w = 10

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

x^{3} + 5 x^{2} + 8 x + 4 = 0

5 x^{4} - 6 x^{2} = 0

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

6 x^{3} - 7 x^{2} - 6 x - 1 = 0

What are the solutions to the equation 5w^3=50w ?
The solutions to the equation 5w^3=50w are w=0,w=-sqrt(10),w=sqrt(10)
Find the zeros of 5w^3=50w
The zeros of 5w^3=50w are w=0,w=-sqrt(10),w=sqrt(10)