What are the solutions to the equation x^3*13=x^2*247 ?

The solutions to the equation x^3*13=x^2*247 are x=0,x=19

Find the zeros of x^3*13=x^2*247

The zeros of x^3*13=x^2*247 are x=0,x=19

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x^{3} \cdot 13 = x^{2} \cdot 247

x = 0, x = 19

Solution steps

x^{3} \cdot 13 = x^{2} \cdot 247

Move

x^{2} \cdot 247

to the left side

x^{3} \cdot 13 - x^{2} \cdot 247 = 0

Factor

x^{3} \cdot 13 - x^{2} \cdot 247 : 13 x^{2} (x - 19)

13 x^{2} (x - 19) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 19 = 0

Solve

x - 19 = 0 : x = 19

The solutions are

x = 0, x = 19

(2 x - 9) (x^{2} - 4) = 0

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

x - x^{3} = 1

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

x^{3} = - 0.49

What are the solutions to the equation x^3*13=x^2*247 ?
The solutions to the equation x^3*13=x^2*247 are x=0,x=19
Find the zeros of x^3*13=x^2*247
The zeros of x^3*13=x^2*247 are x=0,x=19