How do i solve Y squared equals negative 3 x?

Answer 1

That depends on what you want to "solve" it for. Do you want to plot it on a graph? Are you looking for the value of y with respect to x? The value of x with respect to y? The derivative of each? The integral of each? You need to clarify your question.

In answer to all of those interpretations:

• It describes a horizontally aligned parabola that proceeds indefinitely to the "left" (ie. negative) whose vertex lies at the point 0, 0
• y = (-3x)1/2
• dy/dx = (-3x/2)-1/2
• ∫(-3x)1/2 dx = (-x/2)3/2 + C
• x = -y2/3
• dx/dy = -2y/3
• ∫(-y2/3) dy = -y3/9 + C