What are the solutions to the equation solvefor x,3x^2y=λx ?

The solutions to the equation solvefor x,3x^2y=λx are x=0,x= λ/(3y);\quad y\ne 0

Find the zeros of solvefor x,3x^2y=λx

The zeros of solvefor x,3x^2y=λx are x=0,x= λ/(3y);\quad y\ne 0

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solve for

x, 3 x^{2} y = λ x

x = 0, x = \frac{λ}{3 y}; y \neq = 0

Solution steps

3 x^{2} y = λ x

Move

λ x

to the left side

3 x^{2} y - λ x = 0

Factor

3 x^{2} y - λ x : x (3 x y - λ)

x (3 x y - λ) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x y - λ = 0

Solve

3 x y - λ = 0 : x = \frac{λ}{3 y}; y \neq = 0

The solutions to the quadratic equation are:

x = 0, x = \frac{λ}{3 y}; y \neq = 0

3 y^{2} = - 16

- 3 x - 4 = 3 x^{2} - 13 x + 3

2 x^{2} - x - 10 = - 2

x, y = - 0.000009 x^{2} + 0.0104 x + 0.3928

20 x^{2} - 80 x + 75 = 0

What are the solutions to the equation solvefor x,3x^2y=λx ?
The solutions to the equation solvefor x,3x^2y=λx are x=0,x= λ/(3y);\quad y\ne 0
Find the zeros of solvefor x,3x^2y=λx
The zeros of solvefor x,3x^2y=λx are x=0,x= λ/(3y);\quad y\ne 0