Resolver sqrt{102}x^2+y=0

$$\sqrt { 102 } x ^ { 2 } + y = 0$$

Ebatzi: y

$$y=-\sqrt{102}x^{2}$$

Ebazpidea

Kendu \sqrt{102}x^{2} bi aldeetatik. Zero ken edozein zenbaki zenbaki horren negatiboa da.

$$y=-\sqrt{102}x^{2}$$

Ebatzi: x (complex solution)

$$x=-\frac{102^{\frac{3}{4}}i\sqrt{y}}{102}$$

$$x=\frac{102^{\frac{3}{4}}i\sqrt{y}}{102}$$

Ebatzi: x

$$x=\frac{102^{\frac{3}{4}}\sqrt{-y}}{102}$$

$$x=-\frac{102^{\frac{3}{4}}\sqrt{-y}}{102}\text{, }y\leq 0$$