Question

Isolate x.

Answer 1

what does "isolate x"mean in this context? this is an espression, not an equation

Answer 2

\[(3b/\sqrt{y^2+x^2})-(b/\sqrt{y^2+(x-p)^2})=0\], sorry.

Answer 3

\[\frac{3b}{\sqrt{y^2+x^2}}=\frac b{\sqrt{y^2+(x-p)^2}}\]\[\sqrt{\frac{y^2+(x-p)^2}{y^2+x^2}}=\frac13\]\[\frac{y^2+(x-p)^2}{y^2+x^2}=\frac19\]\[9y^2+9(x-p)^2=y^2+x^2\]\[9y^2+9x^2-18xp+9p^2=y^2+x^2\]\[8x^2-18xp+(8y^2+9p^2)=0\]now it's quadratic, so you can either use the formula or complete the square

Answer 4

Thank you!